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Finding the Fourth Proportional to 5,646.47, 8,475.17 and 2,726.82

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Solution

The fourth proportional to 5,646.47, 8,475.17 and 2,726.82 is: 4,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.47 : 8,475.17 = 2,726.82 : x
  2. Step 2: Convert to fraction form
    5,646.47/8,475.17 = 2,726.82/x
  3. Step 3: Cross multiply
    5,646.47x = 8,475.17 × 2,726.82
  4. Step 4: Simplify right side
    5,646.47x = 23,110,249.43
  5. Step 5: Solve for x
    x = 23,110,249.43/5,646.47
  6. Step 6: Final answer
    x = 4,092.87

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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.