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Finding the Fourth Proportional to 5,694.38, 8,542.47 and 2,407.50

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Solution

The fourth proportional to 5,694.38, 8,542.47 and 2,407.50 is: 3,611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.38 : 8,542.47 = 2,407.50 : x
  2. Step 2: Convert to fraction form
    5,694.38/8,542.47 = 2,407.50/x
  3. Step 3: Cross multiply
    5,694.38x = 8,542.47 × 2,407.50
  4. Step 4: Simplify right side
    5,694.38x = 20,565,996.53
  5. Step 5: Solve for x
    x = 20,565,996.53/5,694.38
  6. Step 6: Final answer
    x = 3,611.63

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Why These Related Problems?

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