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Finding the Fourth Proportional to 3,932.70, 5,897.50 and 1,433.30

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Solution

The fourth proportional to 3,932.70, 5,897.50 and 1,433.30 is: 2,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.70 : 5,897.50 = 1,433.30 : x
  2. Step 2: Convert to fraction form
    3,932.70/5,897.50 = 1,433.30/x
  3. Step 3: Cross multiply
    3,932.70x = 5,897.50 × 1,433.30
  4. Step 4: Simplify right side
    3,932.70x = 8,452,886.75
  5. Step 5: Solve for x
    x = 8,452,886.75/3,932.70
  6. Step 6: Final answer
    x = 2,149.39

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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.