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Finding the Fourth Proportional to 5,382.88, 8,069.46 and 3,740.20

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Solution

The fourth proportional to 5,382.88, 8,069.46 and 3,740.20 is: 5,606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.88 : 8,069.46 = 3,740.20 : x
  2. Step 2: Convert to fraction form
    5,382.88/8,069.46 = 3,740.20/x
  3. Step 3: Cross multiply
    5,382.88x = 8,069.46 × 3,740.20
  4. Step 4: Simplify right side
    5,382.88x = 30,181,394.29
  5. Step 5: Solve for x
    x = 30,181,394.29/5,382.88
  6. Step 6: Final answer
    x = 5,606.92

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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.