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Finding the Fourth Proportional to 5,226.65, 7,216.15 and 3,239.31

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Solution

The fourth proportional to 5,226.65, 7,216.15 and 3,239.31 is: 4,472.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.65 : 7,216.15 = 3,239.31 : x
  2. Step 2: Convert to fraction form
    5,226.65/7,216.15 = 3,239.31/x
  3. Step 3: Cross multiply
    5,226.65x = 7,216.15 × 3,239.31
  4. Step 4: Simplify right side
    5,226.65x = 23,375,373.00
  5. Step 5: Solve for x
    x = 23,375,373.00/5,226.65
  6. Step 6: Final answer
    x = 4,472.35

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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.