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Finding the Fourth Proportional to 3,916.69, 5,874.12 and 1,142.78

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Solution

The fourth proportional to 3,916.69, 5,874.12 and 1,142.78 is: 1,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.69 : 5,874.12 = 1,142.78 : x
  2. Step 2: Convert to fraction form
    3,916.69/5,874.12 = 1,142.78/x
  3. Step 3: Cross multiply
    3,916.69x = 5,874.12 × 1,142.78
  4. Step 4: Simplify right side
    3,916.69x = 6,712,797.48
  5. Step 5: Solve for x
    x = 6,712,797.48/3,916.69
  6. Step 6: Final answer
    x = 1,713.90

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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.