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Finding the Fourth Proportional to 5,168.89, 7,751.49 and 1,658.17

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Solution

The fourth proportional to 5,168.89, 7,751.49 and 1,658.17 is: 2,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.89 : 7,751.49 = 1,658.17 : x
  2. Step 2: Convert to fraction form
    5,168.89/7,751.49 = 1,658.17/x
  3. Step 3: Cross multiply
    5,168.89x = 7,751.49 × 1,658.17
  4. Step 4: Simplify right side
    5,168.89x = 12,853,288.17
  5. Step 5: Solve for x
    x = 12,853,288.17/5,168.89
  6. Step 6: Final answer
    x = 2,486.66

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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.