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Finding the Fourth Proportional to 3,801.90, 5,701.92 and 1,168.72

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Solution

The fourth proportional to 3,801.90, 5,701.92 and 1,168.72 is: 1,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.90 : 5,701.92 = 1,168.72 : x
  2. Step 2: Convert to fraction form
    3,801.90/5,701.92 = 1,168.72/x
  3. Step 3: Cross multiply
    3,801.90x = 5,701.92 × 1,168.72
  4. Step 4: Simplify right side
    3,801.90x = 6,663,947.94
  5. Step 5: Solve for x
    x = 6,663,947.94/3,801.90
  6. Step 6: Final answer
    x = 1,752.79

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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.