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Finding the Fourth Proportional to 5,230.71, 7,217.46 and 3,134.88

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Solution

The fourth proportional to 5,230.71, 7,217.46 and 3,134.88 is: 4,325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.71 : 7,217.46 = 3,134.88 : x
  2. Step 2: Convert to fraction form
    5,230.71/7,217.46 = 3,134.88/x
  3. Step 3: Cross multiply
    5,230.71x = 7,217.46 × 3,134.88
  4. Step 4: Simplify right side
    5,230.71x = 22,625,871.00
  5. Step 5: Solve for x
    x = 22,625,871.00/5,230.71
  6. Step 6: Final answer
    x = 4,325.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.