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Finding the Fourth Proportional to 4,086.44, 6,129.67 and 1,124.92

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Solution

The fourth proportional to 4,086.44, 6,129.67 and 1,124.92 is: 1,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.44 : 6,129.67 = 1,124.92 : x
  2. Step 2: Convert to fraction form
    4,086.44/6,129.67 = 1,124.92/x
  3. Step 3: Cross multiply
    4,086.44x = 6,129.67 × 1,124.92
  4. Step 4: Simplify right side
    4,086.44x = 6,895,406.51
  5. Step 5: Solve for x
    x = 6,895,406.51/4,086.44
  6. Step 6: Final answer
    x = 1,687.39

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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.