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Finding the Fourth Proportional to 2,916.74, 4,375.13 and 725.47

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Solution

The fourth proportional to 2,916.74, 4,375.13 and 725.47 is: 1,088.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.74 : 4,375.13 = 725.47 : x
  2. Step 2: Convert to fraction form
    2,916.74/4,375.13 = 725.47/x
  3. Step 3: Cross multiply
    2,916.74x = 4,375.13 × 725.47
  4. Step 4: Simplify right side
    2,916.74x = 3,174,011.00
  5. Step 5: Solve for x
    x = 3,174,011.00/2,916.74
  6. Step 6: Final answer
    x = 1,088.20

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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.