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Finding the Fourth Proportional to 5,114.62, 7,658.25 and 2,920.33

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Solution

The fourth proportional to 5,114.62, 7,658.25 and 2,920.33 is: 4,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.62 : 7,658.25 = 2,920.33 : x
  2. Step 2: Convert to fraction form
    5,114.62/7,658.25 = 2,920.33/x
  3. Step 3: Cross multiply
    5,114.62x = 7,658.25 × 2,920.33
  4. Step 4: Simplify right side
    5,114.62x = 22,364,617.22
  5. Step 5: Solve for x
    x = 22,364,617.22/5,114.62
  6. Step 6: Final answer
    x = 4,372.68

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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.