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Finding the Fourth Proportional to 6,029.81, 9,046.14 and 2,517.86

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Solution

The fourth proportional to 6,029.81, 9,046.14 and 2,517.86 is: 3,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.81 : 9,046.14 = 2,517.86 : x
  2. Step 2: Convert to fraction form
    6,029.81/9,046.14 = 2,517.86/x
  3. Step 3: Cross multiply
    6,029.81x = 9,046.14 × 2,517.86
  4. Step 4: Simplify right side
    6,029.81x = 22,776,868.83
  5. Step 5: Solve for x
    x = 22,776,868.83/6,029.81
  6. Step 6: Final answer
    x = 3,777.38

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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.