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Finding the Fourth Proportional to 3,614.76, 5,422.38 and 1,274.52

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Solution

The fourth proportional to 3,614.76, 5,422.38 and 1,274.52 is: 1,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.76 : 5,422.38 = 1,274.52 : x
  2. Step 2: Convert to fraction form
    3,614.76/5,422.38 = 1,274.52/x
  3. Step 3: Cross multiply
    3,614.76x = 5,422.38 × 1,274.52
  4. Step 4: Simplify right side
    3,614.76x = 6,910,931.76
  5. Step 5: Solve for x
    x = 6,910,931.76/3,614.76
  6. Step 6: Final answer
    x = 1,911.86

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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.