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Finding the Fourth Proportional to 3,619.52, 4,990.56 and 3,059

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Solution

The fourth proportional to 3,619.52, 4,990.56 and 3,059 is: 4,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.52 : 4,990.56 = 3,059 : x
  2. Step 2: Convert to fraction form
    3,619.52/4,990.56 = 3,059/x
  3. Step 3: Cross multiply
    3,619.52x = 4,990.56 × 3,059
  4. Step 4: Simplify right side
    3,619.52x = 15,266,123.04
  5. Step 5: Solve for x
    x = 15,266,123.04/3,619.52
  6. Step 6: Final answer
    x = 4,217.72

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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.