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Finding the Fourth Proportional to 3,531.22, 4,873.50 and 1,959.41

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Solution

The fourth proportional to 3,531.22, 4,873.50 and 1,959.41 is: 2,704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.22 : 4,873.50 = 1,959.41 : x
  2. Step 2: Convert to fraction form
    3,531.22/4,873.50 = 1,959.41/x
  3. Step 3: Cross multiply
    3,531.22x = 4,873.50 × 1,959.41
  4. Step 4: Simplify right side
    3,531.22x = 9,549,174.84
  5. Step 5: Solve for x
    x = 9,549,174.84/3,531.22
  6. Step 6: Final answer
    x = 2,704.22

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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.