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Finding the Fourth Proportional to 5,642.27, 8,454.06 and 3,990.63

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Solution

The fourth proportional to 5,642.27, 8,454.06 and 3,990.63 is: 5,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.27 : 8,454.06 = 3,990.63 : x
  2. Step 2: Convert to fraction form
    5,642.27/8,454.06 = 3,990.63/x
  3. Step 3: Cross multiply
    5,642.27x = 8,454.06 × 3,990.63
  4. Step 4: Simplify right side
    5,642.27x = 33,737,025.46
  5. Step 5: Solve for x
    x = 33,737,025.46/5,642.27
  6. Step 6: Final answer
    x = 5,979.34

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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.