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Finding the Fourth Proportional to 5,735.14, 7,916.18 and 3,746

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Solution

The fourth proportional to 5,735.14, 7,916.18 and 3,746 is: 5,170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.14 : 7,916.18 = 3,746 : x
  2. Step 2: Convert to fraction form
    5,735.14/7,916.18 = 3,746/x
  3. Step 3: Cross multiply
    5,735.14x = 7,916.18 × 3,746
  4. Step 4: Simplify right side
    5,735.14x = 29,654,010.28
  5. Step 5: Solve for x
    x = 29,654,010.28/5,735.14
  6. Step 6: Final answer
    x = 5,170.58

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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.