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Finding the Fourth Proportional to 5,649.62, 8,476.52 and 4,176.23

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Solution

The fourth proportional to 5,649.62, 8,476.52 and 4,176.23 is: 6,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.62 : 8,476.52 = 4,176.23 : x
  2. Step 2: Convert to fraction form
    5,649.62/8,476.52 = 4,176.23/x
  3. Step 3: Cross multiply
    5,649.62x = 8,476.52 × 4,176.23
  4. Step 4: Simplify right side
    5,649.62x = 35,399,833.86
  5. Step 5: Solve for x
    x = 35,399,833.86/5,649.62
  6. Step 6: Final answer
    x = 6,265.88

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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.