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Finding the Fourth Proportional to 5,710.60, 8,565.90 and 5,491.90

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Solution

The fourth proportional to 5,710.60, 8,565.90 and 5,491.90 is: 8,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.60 : 8,565.90 = 5,491.90 : x
  2. Step 2: Convert to fraction form
    5,710.60/8,565.90 = 5,491.90/x
  3. Step 3: Cross multiply
    5,710.60x = 8,565.90 × 5,491.90
  4. Step 4: Simplify right side
    5,710.60x = 47,043,066.21
  5. Step 5: Solve for x
    x = 47,043,066.21/5,710.60
  6. Step 6: Final answer
    x = 8,237.85

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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.