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Finding the Fourth Proportional to 4,002.61, 5,988.87 and 2,772.42

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Solution

The fourth proportional to 4,002.61, 5,988.87 and 2,772.42 is: 4,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.61 : 5,988.87 = 2,772.42 : x
  2. Step 2: Convert to fraction form
    4,002.61/5,988.87 = 2,772.42/x
  3. Step 3: Cross multiply
    4,002.61x = 5,988.87 × 2,772.42
  4. Step 4: Simplify right side
    4,002.61x = 16,603,619.16
  5. Step 5: Solve for x
    x = 16,603,619.16/4,002.61
  6. Step 6: Final answer
    x = 4,148.20

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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.