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Finding the Fourth Proportional to 3,916.38, 5,404.42 and 2,148.02

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Solution

The fourth proportional to 3,916.38, 5,404.42 and 2,148.02 is: 2,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.38 : 5,404.42 = 2,148.02 : x
  2. Step 2: Convert to fraction form
    3,916.38/5,404.42 = 2,148.02/x
  3. Step 3: Cross multiply
    3,916.38x = 5,404.42 × 2,148.02
  4. Step 4: Simplify right side
    3,916.38x = 11,608,798.18
  5. Step 5: Solve for x
    x = 11,608,798.18/3,916.38
  6. Step 6: Final answer
    x = 2,964.16

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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.