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Finding the Fourth Proportional to 3,789.47, 5,682.49 and 1,597.01

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Solution

The fourth proportional to 3,789.47, 5,682.49 and 1,597.01 is: 2,394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.47 : 5,682.49 = 1,597.01 : x
  2. Step 2: Convert to fraction form
    3,789.47/5,682.49 = 1,597.01/x
  3. Step 3: Cross multiply
    3,789.47x = 5,682.49 × 1,597.01
  4. Step 4: Simplify right side
    3,789.47x = 9,074,960.95
  5. Step 5: Solve for x
    x = 9,074,960.95/3,789.47
  6. Step 6: Final answer
    x = 2,394.78

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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.