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Finding the Fourth Proportional to 3,542.16, 5,313.54 and 1,077

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Solution

The fourth proportional to 3,542.16, 5,313.54 and 1,077 is: 1,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.16 : 5,313.54 = 1,077 : x
  2. Step 2: Convert to fraction form
    3,542.16/5,313.54 = 1,077/x
  3. Step 3: Cross multiply
    3,542.16x = 5,313.54 × 1,077
  4. Step 4: Simplify right side
    3,542.16x = 5,722,682.58
  5. Step 5: Solve for x
    x = 5,722,682.58/3,542.16
  6. Step 6: Final answer
    x = 1,615.59

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