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Finding the Fourth Proportional to 4,062.96, 6,092.31 and 1,429.95

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Solution

The fourth proportional to 4,062.96, 6,092.31 and 1,429.95 is: 2,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.96 : 6,092.31 = 1,429.95 : x
  2. Step 2: Convert to fraction form
    4,062.96/6,092.31 = 1,429.95/x
  3. Step 3: Cross multiply
    4,062.96x = 6,092.31 × 1,429.95
  4. Step 4: Simplify right side
    4,062.96x = 8,711,726.89
  5. Step 5: Solve for x
    x = 8,711,726.89/4,062.96
  6. Step 6: Final answer
    x = 2,144.18

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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.