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Finding the Fourth Proportional to 4,002.90, 6,005.11 and 1,229.07

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Solution

The fourth proportional to 4,002.90, 6,005.11 and 1,229.07 is: 1,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.90 : 6,005.11 = 1,229.07 : x
  2. Step 2: Convert to fraction form
    4,002.90/6,005.11 = 1,229.07/x
  3. Step 3: Cross multiply
    4,002.90x = 6,005.11 × 1,229.07
  4. Step 4: Simplify right side
    4,002.90x = 7,380,700.55
  5. Step 5: Solve for x
    x = 7,380,700.55/4,002.90
  6. Step 6: Final answer
    x = 1,843.84

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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.