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Finding the Fourth Proportional to 5,709.80, 8,565.92 and 2,424.44

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Solution

The fourth proportional to 5,709.80, 8,565.92 and 2,424.44 is: 3,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.80 : 8,565.92 = 2,424.44 : x
  2. Step 2: Convert to fraction form
    5,709.80/8,565.92 = 2,424.44/x
  3. Step 3: Cross multiply
    5,709.80x = 8,565.92 × 2,424.44
  4. Step 4: Simplify right side
    5,709.80x = 20,767,559.08
  5. Step 5: Solve for x
    x = 20,767,559.08/5,709.80
  6. Step 6: Final answer
    x = 3,637.18

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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.