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Finding the Fourth Proportional to 5,632.92, 7,773.12 and 3,644.52

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Solution

The fourth proportional to 5,632.92, 7,773.12 and 3,644.52 is: 5,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.92 : 7,773.12 = 3,644.52 : x
  2. Step 2: Convert to fraction form
    5,632.92/7,773.12 = 3,644.52/x
  3. Step 3: Cross multiply
    5,632.92x = 7,773.12 × 3,644.52
  4. Step 4: Simplify right side
    5,632.92x = 28,329,291.30
  5. Step 5: Solve for x
    x = 28,329,291.30/5,632.92
  6. Step 6: Final answer
    x = 5,029.24

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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.