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Finding the Fourth Proportional to 4,191.96, 6,278.36 and 2,002.24

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Solution

The fourth proportional to 4,191.96, 6,278.36 and 2,002.24 is: 2,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.96 : 6,278.36 = 2,002.24 : x
  2. Step 2: Convert to fraction form
    4,191.96/6,278.36 = 2,002.24/x
  3. Step 3: Cross multiply
    4,191.96x = 6,278.36 × 2,002.24
  4. Step 4: Simplify right side
    4,191.96x = 12,570,752.13
  5. Step 5: Solve for x
    x = 12,570,752.13/4,191.96
  6. Step 6: Final answer
    x = 2,998.78

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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.