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Finding the Fourth Proportional to 5,712.86, 8,562.21 and 3,240.17

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Solution

The fourth proportional to 5,712.86, 8,562.21 and 3,240.17 is: 4,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.86 : 8,562.21 = 3,240.17 : x
  2. Step 2: Convert to fraction form
    5,712.86/8,562.21 = 3,240.17/x
  3. Step 3: Cross multiply
    5,712.86x = 8,562.21 × 3,240.17
  4. Step 4: Simplify right side
    5,712.86x = 27,743,015.98
  5. Step 5: Solve for x
    x = 27,743,015.98/5,712.86
  6. Step 6: Final answer
    x = 4,856.24

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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.