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Finding the Fourth Proportional to 6,038.64, 9,061.80 and 2,575.92

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Solution

The fourth proportional to 6,038.64, 9,061.80 and 2,575.92 is: 3,865.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.64 : 9,061.80 = 2,575.92 : x
  2. Step 2: Convert to fraction form
    6,038.64/9,061.80 = 2,575.92/x
  3. Step 3: Cross multiply
    6,038.64x = 9,061.80 × 2,575.92
  4. Step 4: Simplify right side
    6,038.64x = 23,342,471.86
  5. Step 5: Solve for x
    x = 23,342,471.86/6,038.64
  6. Step 6: Final answer
    x = 3,865.52

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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.