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Finding the Fourth Proportional to 6,139.82, 8,462.84 and 4,344.98

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Solution

The fourth proportional to 6,139.82, 8,462.84 and 4,344.98 is: 5,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.82 : 8,462.84 = 4,344.98 : x
  2. Step 2: Convert to fraction form
    6,139.82/8,462.84 = 4,344.98/x
  3. Step 3: Cross multiply
    6,139.82x = 8,462.84 × 4,344.98
  4. Step 4: Simplify right side
    6,139.82x = 36,770,870.54
  5. Step 5: Solve for x
    x = 36,770,870.54/6,139.82
  6. Step 6: Final answer
    x = 5,988.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.