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Finding the Fourth Proportional to 3,801.50, 5,732.65 and 3,749.52

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Solution

The fourth proportional to 3,801.50, 5,732.65 and 3,749.52 is: 5,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.50 : 5,732.65 = 3,749.52 : x
  2. Step 2: Convert to fraction form
    3,801.50/5,732.65 = 3,749.52/x
  3. Step 3: Cross multiply
    3,801.50x = 5,732.65 × 3,749.52
  4. Step 4: Simplify right side
    3,801.50x = 21,494,685.83
  5. Step 5: Solve for x
    x = 21,494,685.83/3,801.50
  6. Step 6: Final answer
    x = 5,654.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.