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Finding the Fourth Proportional to 5,049.60, 7,566.13 and 3,290.55

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Solution

The fourth proportional to 5,049.60, 7,566.13 and 3,290.55 is: 4,930.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.60 : 7,566.13 = 3,290.55 : x
  2. Step 2: Convert to fraction form
    5,049.60/7,566.13 = 3,290.55/x
  3. Step 3: Cross multiply
    5,049.60x = 7,566.13 × 3,290.55
  4. Step 4: Simplify right side
    5,049.60x = 24,896,729.07
  5. Step 5: Solve for x
    x = 24,896,729.07/5,049.60
  6. Step 6: Final answer
    x = 4,930.44

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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.