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Finding the Fourth Proportional to 5,568.75, 8,346.65 and 2,277.86

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Solution

The fourth proportional to 5,568.75, 8,346.65 and 2,277.86 is: 3,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.75 : 8,346.65 = 2,277.86 : x
  2. Step 2: Convert to fraction form
    5,568.75/8,346.65 = 2,277.86/x
  3. Step 3: Cross multiply
    5,568.75x = 8,346.65 × 2,277.86
  4. Step 4: Simplify right side
    5,568.75x = 19,012,447.05
  5. Step 5: Solve for x
    x = 19,012,447.05/5,568.75
  6. Step 6: Final answer
    x = 3,414.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.