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Finding the Fourth Proportional to 4,539.52, 6,811.22 and 2,565.42

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Solution

The fourth proportional to 4,539.52, 6,811.22 and 2,565.42 is: 3,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.52 : 6,811.22 = 2,565.42 : x
  2. Step 2: Convert to fraction form
    4,539.52/6,811.22 = 2,565.42/x
  3. Step 3: Cross multiply
    4,539.52x = 6,811.22 × 2,565.42
  4. Step 4: Simplify right side
    4,539.52x = 17,473,640.01
  5. Step 5: Solve for x
    x = 17,473,640.01/4,539.52
  6. Step 6: Final answer
    x = 3,849.23

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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.