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Finding the Fourth Proportional to 5,710.17, 8,559.42 and 3,239.77

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Solution

The fourth proportional to 5,710.17, 8,559.42 and 3,239.77 is: 4,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.17 : 8,559.42 = 3,239.77 : x
  2. Step 2: Convert to fraction form
    5,710.17/8,559.42 = 3,239.77/x
  3. Step 3: Cross multiply
    5,710.17x = 8,559.42 × 3,239.77
  4. Step 4: Simplify right side
    5,710.17x = 27,730,596.38
  5. Step 5: Solve for x
    x = 27,730,596.38/5,710.17
  6. Step 6: Final answer
    x = 4,856.35

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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.