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Finding the Fourth Proportional to 5,709.81, 8,565.39 and 2,422.47

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Solution

The fourth proportional to 5,709.81, 8,565.39 and 2,422.47 is: 3,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.81 : 8,565.39 = 2,422.47 : x
  2. Step 2: Convert to fraction form
    5,709.81/8,565.39 = 2,422.47/x
  3. Step 3: Cross multiply
    5,709.81x = 8,565.39 × 2,422.47
  4. Step 4: Simplify right side
    5,709.81x = 20,749,400.31
  5. Step 5: Solve for x
    x = 20,749,400.31/5,709.81
  6. Step 6: Final answer
    x = 3,633.99

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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.