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Finding the Fourth Proportional to 5,661.86, 8,493.18 and 2,371.64

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Solution

The fourth proportional to 5,661.86, 8,493.18 and 2,371.64 is: 3,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.86 : 8,493.18 = 2,371.64 : x
  2. Step 2: Convert to fraction form
    5,661.86/8,493.18 = 2,371.64/x
  3. Step 3: Cross multiply
    5,661.86x = 8,493.18 × 2,371.64
  4. Step 4: Simplify right side
    5,661.86x = 20,142,765.42
  5. Step 5: Solve for x
    x = 20,142,765.42/5,661.86
  6. Step 6: Final answer
    x = 3,557.62

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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.