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Finding the Fourth Proportional to 6,881.88, 9,498.69 and 3,899.47

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Solution

The fourth proportional to 6,881.88, 9,498.69 and 3,899.47 is: 5,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.88 : 9,498.69 = 3,899.47 : x
  2. Step 2: Convert to fraction form
    6,881.88/9,498.69 = 3,899.47/x
  3. Step 3: Cross multiply
    6,881.88x = 9,498.69 × 3,899.47
  4. Step 4: Simplify right side
    6,881.88x = 37,039,837.20
  5. Step 5: Solve for x
    x = 37,039,837.20/6,881.88
  6. Step 6: Final answer
    x = 5,382.23

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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.