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Finding the Fourth Proportional to 5,306.94, 7,939.11 and 4,127.82

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Solution

The fourth proportional to 5,306.94, 7,939.11 and 4,127.82 is: 6,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.94 : 7,939.11 = 4,127.82 : x
  2. Step 2: Convert to fraction form
    5,306.94/7,939.11 = 4,127.82/x
  3. Step 3: Cross multiply
    5,306.94x = 7,939.11 × 4,127.82
  4. Step 4: Simplify right side
    5,306.94x = 32,771,217.04
  5. Step 5: Solve for x
    x = 32,771,217.04/5,306.94
  6. Step 6: Final answer
    x = 6,175.16

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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.