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Finding the Fourth Proportional to 3,614.37, 5,422.26 and 1,534.37

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Solution

The fourth proportional to 3,614.37, 5,422.26 and 1,534.37 is: 2,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.37 : 5,422.26 = 1,534.37 : x
  2. Step 2: Convert to fraction form
    3,614.37/5,422.26 = 1,534.37/x
  3. Step 3: Cross multiply
    3,614.37x = 5,422.26 × 1,534.37
  4. Step 4: Simplify right side
    3,614.37x = 8,319,725.96
  5. Step 5: Solve for x
    x = 8,319,725.96/3,614.37
  6. Step 6: Final answer
    x = 2,301.85

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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.