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Finding the Fourth Proportional to 3,734.90, 5,601.90 and 1,543.36

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Solution

The fourth proportional to 3,734.90, 5,601.90 and 1,543.36 is: 2,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.90 : 5,601.90 = 1,543.36 : x
  2. Step 2: Convert to fraction form
    3,734.90/5,601.90 = 1,543.36/x
  3. Step 3: Cross multiply
    3,734.90x = 5,601.90 × 1,543.36
  4. Step 4: Simplify right side
    3,734.90x = 8,645,748.38
  5. Step 5: Solve for x
    x = 8,645,748.38/3,734.90
  6. Step 6: Final answer
    x = 2,314.85

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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.