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Finding the Fourth Proportional to 5,407.45, 8,107.07 and 2,286.87

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Solution

The fourth proportional to 5,407.45, 8,107.07 and 2,286.87 is: 3,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.45 : 8,107.07 = 2,286.87 : x
  2. Step 2: Convert to fraction form
    5,407.45/8,107.07 = 2,286.87/x
  3. Step 3: Cross multiply
    5,407.45x = 8,107.07 × 2,286.87
  4. Step 4: Simplify right side
    5,407.45x = 18,539,815.17
  5. Step 5: Solve for x
    x = 18,539,815.17/5,407.45
  6. Step 6: Final answer
    x = 3,428.57

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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.