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Finding the Fourth Proportional to 5,300.57, 7,314.24 and 3,063.17

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Solution

The fourth proportional to 5,300.57, 7,314.24 and 3,063.17 is: 4,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.57 : 7,314.24 = 3,063.17 : x
  2. Step 2: Convert to fraction form
    5,300.57/7,314.24 = 3,063.17/x
  3. Step 3: Cross multiply
    5,300.57x = 7,314.24 × 3,063.17
  4. Step 4: Simplify right side
    5,300.57x = 22,404,723.97
  5. Step 5: Solve for x
    x = 22,404,723.97/5,300.57
  6. Step 6: Final answer
    x = 4,226.86

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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.