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Finding the Fourth Proportional to 4,092.12, 6,134.00 and 2,449.44

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Solution

The fourth proportional to 4,092.12, 6,134.00 and 2,449.44 is: 3,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.12 : 6,134.00 = 2,449.44 : x
  2. Step 2: Convert to fraction form
    4,092.12/6,134.00 = 2,449.44/x
  3. Step 3: Cross multiply
    4,092.12x = 6,134.00 × 2,449.44
  4. Step 4: Simplify right side
    4,092.12x = 15,024,852.71
  5. Step 5: Solve for x
    x = 15,024,852.71/4,092.12
  6. Step 6: Final answer
    x = 3,671.65

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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.