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Finding the Fourth Proportional to 5,294.70, 7,306.75 and 3,306.41

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Solution

The fourth proportional to 5,294.70, 7,306.75 and 3,306.41 is: 4,562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.70 : 7,306.75 = 3,306.41 : x
  2. Step 2: Convert to fraction form
    5,294.70/7,306.75 = 3,306.41/x
  3. Step 3: Cross multiply
    5,294.70x = 7,306.75 × 3,306.41
  4. Step 4: Simplify right side
    5,294.70x = 24,159,121.27
  5. Step 5: Solve for x
    x = 24,159,121.27/5,294.70
  6. Step 6: Final answer
    x = 4,562.89

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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.