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Finding the Fourth Proportional to 3,532.39, 5,298.42 and 1,451.89

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Solution

The fourth proportional to 3,532.39, 5,298.42 and 1,451.89 is: 2,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.39 : 5,298.42 = 1,451.89 : x
  2. Step 2: Convert to fraction form
    3,532.39/5,298.42 = 1,451.89/x
  3. Step 3: Cross multiply
    3,532.39x = 5,298.42 × 1,451.89
  4. Step 4: Simplify right side
    3,532.39x = 7,692,723.01
  5. Step 5: Solve for x
    x = 7,692,723.01/3,532.39
  6. Step 6: Final answer
    x = 2,177.77

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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.