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Finding the Fourth Proportional to 3,614.46, 5,422.24 and 1,534.46

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Solution

The fourth proportional to 3,614.46, 5,422.24 and 1,534.46 is: 2,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.46 : 5,422.24 = 1,534.46 : x
  2. Step 2: Convert to fraction form
    3,614.46/5,422.24 = 1,534.46/x
  3. Step 3: Cross multiply
    3,614.46x = 5,422.24 × 1,534.46
  4. Step 4: Simplify right side
    3,614.46x = 8,320,210.39
  5. Step 5: Solve for x
    x = 8,320,210.39/3,614.46
  6. Step 6: Final answer
    x = 2,301.92

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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.