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Finding the Fourth Proportional to 5,306.38, 7,959.56 and 1,658.38

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Solution

The fourth proportional to 5,306.38, 7,959.56 and 1,658.38 is: 2,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.38 : 7,959.56 = 1,658.38 : x
  2. Step 2: Convert to fraction form
    5,306.38/7,959.56 = 1,658.38/x
  3. Step 3: Cross multiply
    5,306.38x = 7,959.56 × 1,658.38
  4. Step 4: Simplify right side
    5,306.38x = 13,199,939.46
  5. Step 5: Solve for x
    x = 13,199,939.46/5,306.38
  6. Step 6: Final answer
    x = 2,487.56

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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.