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Finding the Fourth Proportional to 4,613.96, 6,920.94 and 1,151.22

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Solution

The fourth proportional to 4,613.96, 6,920.94 and 1,151.22 is: 1,726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.96 : 6,920.94 = 1,151.22 : x
  2. Step 2: Convert to fraction form
    4,613.96/6,920.94 = 1,151.22/x
  3. Step 3: Cross multiply
    4,613.96x = 6,920.94 × 1,151.22
  4. Step 4: Simplify right side
    4,613.96x = 7,967,524.55
  5. Step 5: Solve for x
    x = 7,967,524.55/4,613.96
  6. Step 6: Final answer
    x = 1,726.83

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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.