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Finding the Fourth Proportional to 4,023.90, 6,037.56 and 2,565.90

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Solution

The fourth proportional to 4,023.90, 6,037.56 and 2,565.90 is: 3,849.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023.90 : 6,037.56 = 2,565.90 : x
  2. Step 2: Convert to fraction form
    4,023.90/6,037.56 = 2,565.90/x
  3. Step 3: Cross multiply
    4,023.90x = 6,037.56 × 2,565.90
  4. Step 4: Simplify right side
    4,023.90x = 15,491,775.20
  5. Step 5: Solve for x
    x = 15,491,775.20/4,023.90
  6. Step 6: Final answer
    x = 3,849.94

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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.