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Finding the Fourth Proportional to 4,001.87, 6,002.84 and 1,228.53

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Solution

The fourth proportional to 4,001.87, 6,002.84 and 1,228.53 is: 1,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.87 : 6,002.84 = 1,228.53 : x
  2. Step 2: Convert to fraction form
    4,001.87/6,002.84 = 1,228.53/x
  3. Step 3: Cross multiply
    4,001.87x = 6,002.84 × 1,228.53
  4. Step 4: Simplify right side
    4,001.87x = 7,374,694.61
  5. Step 5: Solve for x
    x = 7,374,694.61/4,001.87
  6. Step 6: Final answer
    x = 1,842.81

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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.