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Finding the Fourth Proportional to 4,771.29, 6,583.34 and 4,613.97

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Solution

The fourth proportional to 4,771.29, 6,583.34 and 4,613.97 is: 6,366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.29 : 6,583.34 = 4,613.97 : x
  2. Step 2: Convert to fraction form
    4,771.29/6,583.34 = 4,613.97/x
  3. Step 3: Cross multiply
    4,771.29x = 6,583.34 × 4,613.97
  4. Step 4: Simplify right side
    4,771.29x = 30,375,310.19
  5. Step 5: Solve for x
    x = 30,375,310.19/4,771.29
  6. Step 6: Final answer
    x = 6,366.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.