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Finding the Fourth Proportional to 5,154.38, 7,114.11 and 2,916.35

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Solution

The fourth proportional to 5,154.38, 7,114.11 and 2,916.35 is: 4,025.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.38 : 7,114.11 = 2,916.35 : x
  2. Step 2: Convert to fraction form
    5,154.38/7,114.11 = 2,916.35/x
  3. Step 3: Cross multiply
    5,154.38x = 7,114.11 × 2,916.35
  4. Step 4: Simplify right side
    5,154.38x = 20,747,234.70
  5. Step 5: Solve for x
    x = 20,747,234.70/5,154.38
  6. Step 6: Final answer
    x = 4,025.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.