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Finding the Fourth Proportional to 4,132.67, 6,199.67 and 2,052.74

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Solution

The fourth proportional to 4,132.67, 6,199.67 and 2,052.74 is: 3,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.67 : 6,199.67 = 2,052.74 : x
  2. Step 2: Convert to fraction form
    4,132.67/6,199.67 = 2,052.74/x
  3. Step 3: Cross multiply
    4,132.67x = 6,199.67 × 2,052.74
  4. Step 4: Simplify right side
    4,132.67x = 12,726,284.73
  5. Step 5: Solve for x
    x = 12,726,284.73/4,132.67
  6. Step 6: Final answer
    x = 3,079.44

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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.