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Finding the Fourth Proportional to 5,632.54, 8,449.31 and 1,472.48

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Solution

The fourth proportional to 5,632.54, 8,449.31 and 1,472.48 is: 2,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.54 : 8,449.31 = 1,472.48 : x
  2. Step 2: Convert to fraction form
    5,632.54/8,449.31 = 1,472.48/x
  3. Step 3: Cross multiply
    5,632.54x = 8,449.31 × 1,472.48
  4. Step 4: Simplify right side
    5,632.54x = 12,441,433.11
  5. Step 5: Solve for x
    x = 12,441,433.11/5,632.54
  6. Step 6: Final answer
    x = 2,208.85

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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.