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Finding the Fourth Proportional to 3,542.04, 5,313.06 and 1,077

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Solution

The fourth proportional to 3,542.04, 5,313.06 and 1,077 is: 1,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.04 : 5,313.06 = 1,077 : x
  2. Step 2: Convert to fraction form
    3,542.04/5,313.06 = 1,077/x
  3. Step 3: Cross multiply
    3,542.04x = 5,313.06 × 1,077
  4. Step 4: Simplify right side
    3,542.04x = 5,722,165.62
  5. Step 5: Solve for x
    x = 5,722,165.62/3,542.04
  6. Step 6: Final answer
    x = 1,615.50

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.