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Finding the Fourth Proportional to 4,092.48, 6,134.16 and 2,144.88

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Solution

The fourth proportional to 4,092.48, 6,134.16 and 2,144.88 is: 3,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.48 : 6,134.16 = 2,144.88 : x
  2. Step 2: Convert to fraction form
    4,092.48/6,134.16 = 2,144.88/x
  3. Step 3: Cross multiply
    4,092.48x = 6,134.16 × 2,144.88
  4. Step 4: Simplify right side
    4,092.48x = 13,157,037.10
  5. Step 5: Solve for x
    x = 13,157,037.10/4,092.48
  6. Step 6: Final answer
    x = 3,214.93

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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.