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Finding the Fourth Proportional to 5,649.75, 8,468.55 and 2,525.47

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Solution

The fourth proportional to 5,649.75, 8,468.55 and 2,525.47 is: 3,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.75 : 8,468.55 = 2,525.47 : x
  2. Step 2: Convert to fraction form
    5,649.75/8,468.55 = 2,525.47/x
  3. Step 3: Cross multiply
    5,649.75x = 8,468.55 × 2,525.47
  4. Step 4: Simplify right side
    5,649.75x = 21,387,047.80
  5. Step 5: Solve for x
    x = 21,387,047.80/5,649.75
  6. Step 6: Final answer
    x = 3,785.49

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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.