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Finding the Fourth Proportional to 4,987.71, 7,471.04 and 3,007.16

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Solution

The fourth proportional to 4,987.71, 7,471.04 and 3,007.16 is: 4,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.71 : 7,471.04 = 3,007.16 : x
  2. Step 2: Convert to fraction form
    4,987.71/7,471.04 = 3,007.16/x
  3. Step 3: Cross multiply
    4,987.71x = 7,471.04 × 3,007.16
  4. Step 4: Simplify right side
    4,987.71x = 22,466,588.27
  5. Step 5: Solve for x
    x = 22,466,588.27/4,987.71
  6. Step 6: Final answer
    x = 4,504.39

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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.