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Finding the Fourth Proportional to 5,171.04, 7,768.71 and 3,224.61

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Solution

The fourth proportional to 5,171.04, 7,768.71 and 3,224.61 is: 4,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.04 : 7,768.71 = 3,224.61 : x
  2. Step 2: Convert to fraction form
    5,171.04/7,768.71 = 3,224.61/x
  3. Step 3: Cross multiply
    5,171.04x = 7,768.71 × 3,224.61
  4. Step 4: Simplify right side
    5,171.04x = 25,051,059.95
  5. Step 5: Solve for x
    x = 25,051,059.95/5,171.04
  6. Step 6: Final answer
    x = 4,844.49

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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.