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Finding the Fourth Proportional to 5,299.80, 7,314.78 and 4,414.68

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Solution

The fourth proportional to 5,299.80, 7,314.78 and 4,414.68 is: 6,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.80 : 7,314.78 = 4,414.68 : x
  2. Step 2: Convert to fraction form
    5,299.80/7,314.78 = 4,414.68/x
  3. Step 3: Cross multiply
    5,299.80x = 7,314.78 × 4,414.68
  4. Step 4: Simplify right side
    5,299.80x = 32,292,412.97
  5. Step 5: Solve for x
    x = 32,292,412.97/5,299.80
  6. Step 6: Final answer
    x = 6,093.14

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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.