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Finding the Fourth Proportional to 5,930.76, 8,941.17 and 5,613.24

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Solution

The fourth proportional to 5,930.76, 8,941.17 and 5,613.24 is: 8,462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.76 : 8,941.17 = 5,613.24 : x
  2. Step 2: Convert to fraction form
    5,930.76/8,941.17 = 5,613.24/x
  3. Step 3: Cross multiply
    5,930.76x = 8,941.17 × 5,613.24
  4. Step 4: Simplify right side
    5,930.76x = 50,188,933.09
  5. Step 5: Solve for x
    x = 50,188,933.09/5,930.76
  6. Step 6: Final answer
    x = 8,462.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.