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Finding the Fourth Proportional to 5,734.38, 7,916.90 and 3,748.26

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Solution

The fourth proportional to 5,734.38, 7,916.90 and 3,748.26 is: 5,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.38 : 7,916.90 = 3,748.26 : x
  2. Step 2: Convert to fraction form
    5,734.38/7,916.90 = 3,748.26/x
  3. Step 3: Cross multiply
    5,734.38x = 7,916.90 × 3,748.26
  4. Step 4: Simplify right side
    5,734.38x = 29,674,580.85
  5. Step 5: Solve for x
    x = 29,674,580.85/5,734.38
  6. Step 6: Final answer
    x = 5,174.85

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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.