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Finding the Fourth Proportional to 3,532.01, 5,291.17 and 3,169.78

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Solution

The fourth proportional to 3,532.01, 5,291.17 and 3,169.78 is: 4,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.01 : 5,291.17 = 3,169.78 : x
  2. Step 2: Convert to fraction form
    3,532.01/5,291.17 = 3,169.78/x
  3. Step 3: Cross multiply
    3,532.01x = 5,291.17 × 3,169.78
  4. Step 4: Simplify right side
    3,532.01x = 16,771,871.28
  5. Step 5: Solve for x
    x = 16,771,871.28/3,532.01
  6. Step 6: Final answer
    x = 4,748.54

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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.