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Finding the Fourth Proportional to 5,544.64, 7,651.68 and 3,187.20

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Solution

The fourth proportional to 5,544.64, 7,651.68 and 3,187.20 is: 4,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,544.64 : 7,651.68 = 3,187.20 : x
  2. Step 2: Convert to fraction form
    5,544.64/7,651.68 = 3,187.20/x
  3. Step 3: Cross multiply
    5,544.64x = 7,651.68 × 3,187.20
  4. Step 4: Simplify right side
    5,544.64x = 24,387,434.50
  5. Step 5: Solve for x
    x = 24,387,434.50/5,544.64
  6. Step 6: Final answer
    x = 4,398.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.