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Finding the Fourth Proportional to 6,540.66, 9,024.75 and 3,887.10

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Solution

The fourth proportional to 6,540.66, 9,024.75 and 3,887.10 is: 5,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.66 : 9,024.75 = 3,887.10 : x
  2. Step 2: Convert to fraction form
    6,540.66/9,024.75 = 3,887.10/x
  3. Step 3: Cross multiply
    6,540.66x = 9,024.75 × 3,887.10
  4. Step 4: Simplify right side
    6,540.66x = 35,080,105.73
  5. Step 5: Solve for x
    x = 35,080,105.73/6,540.66
  6. Step 6: Final answer
    x = 5,363.39

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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.