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Finding the Fourth Proportional to 3,531.26, 4,873 and 1,959.32

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Solution

The fourth proportional to 3,531.26, 4,873 and 1,959.32 is: 2,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.26 : 4,873 = 1,959.32 : x
  2. Step 2: Convert to fraction form
    3,531.26/4,873 = 1,959.32/x
  3. Step 3: Cross multiply
    3,531.26x = 4,873 × 1,959.32
  4. Step 4: Simplify right side
    3,531.26x = 9,547,766.36
  5. Step 5: Solve for x
    x = 9,547,766.36/3,531.26
  6. Step 6: Final answer
    x = 2,703.78

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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.