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Finding the Fourth Proportional to 3,709.38, 5,564.88 and 1,243.74

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Solution

The fourth proportional to 3,709.38, 5,564.88 and 1,243.74 is: 1,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.38 : 5,564.88 = 1,243.74 : x
  2. Step 2: Convert to fraction form
    3,709.38/5,564.88 = 1,243.74/x
  3. Step 3: Cross multiply
    3,709.38x = 5,564.88 × 1,243.74
  4. Step 4: Simplify right side
    3,709.38x = 6,921,263.85
  5. Step 5: Solve for x
    x = 6,921,263.85/3,709.38
  6. Step 6: Final answer
    x = 1,865.88

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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.