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Finding the Fourth Proportional to 3,847.43, 5,775.23 and 3,125.72

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Solution

The fourth proportional to 3,847.43, 5,775.23 and 3,125.72 is: 4,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.43 : 5,775.23 = 3,125.72 : x
  2. Step 2: Convert to fraction form
    3,847.43/5,775.23 = 3,125.72/x
  3. Step 3: Cross multiply
    3,847.43x = 5,775.23 × 3,125.72
  4. Step 4: Simplify right side
    3,847.43x = 18,051,774.17
  5. Step 5: Solve for x
    x = 18,051,774.17/3,847.43
  6. Step 6: Final answer
    x = 4,691.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.