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Finding the Fourth Proportional to 5,972.27, 8,244.18 and 4,294.35

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Solution

The fourth proportional to 5,972.27, 8,244.18 and 4,294.35 is: 5,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.27 : 8,244.18 = 4,294.35 : x
  2. Step 2: Convert to fraction form
    5,972.27/8,244.18 = 4,294.35/x
  3. Step 3: Cross multiply
    5,972.27x = 8,244.18 × 4,294.35
  4. Step 4: Simplify right side
    5,972.27x = 35,403,394.38
  5. Step 5: Solve for x
    x = 35,403,394.38/5,972.27
  6. Step 6: Final answer
    x = 5,927.97

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Why These Related Problems?

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