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Finding the Fourth Proportional to 3,916.13, 5,874.09 and 954.59

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Solution

The fourth proportional to 3,916.13, 5,874.09 and 954.59 is: 1,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.13 : 5,874.09 = 954.59 : x
  2. Step 2: Convert to fraction form
    3,916.13/5,874.09 = 954.59/x
  3. Step 3: Cross multiply
    3,916.13x = 5,874.09 × 954.59
  4. Step 4: Simplify right side
    3,916.13x = 5,607,318.20
  5. Step 5: Solve for x
    x = 5,607,318.20/3,916.13
  6. Step 6: Final answer
    x = 1,431.85

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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.