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Finding the Fourth Proportional to 4,716.50, 6,505.92 and 3,458.97

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Solution

The fourth proportional to 4,716.50, 6,505.92 and 3,458.97 is: 4,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.50 : 6,505.92 = 3,458.97 : x
  2. Step 2: Convert to fraction form
    4,716.50/6,505.92 = 3,458.97/x
  3. Step 3: Cross multiply
    4,716.50x = 6,505.92 × 3,458.97
  4. Step 4: Simplify right side
    4,716.50x = 22,503,782.10
  5. Step 5: Solve for x
    x = 22,503,782.10/4,716.50
  6. Step 6: Final answer
    x = 4,771.29

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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.