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Finding the Fourth Proportional to 3,579.22, 5,340.16 and 3,116.30

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Solution

The fourth proportional to 3,579.22, 5,340.16 and 3,116.30 is: 4,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.22 : 5,340.16 = 3,116.30 : x
  2. Step 2: Convert to fraction form
    3,579.22/5,340.16 = 3,116.30/x
  3. Step 3: Cross multiply
    3,579.22x = 5,340.16 × 3,116.30
  4. Step 4: Simplify right side
    3,579.22x = 16,641,540.61
  5. Step 5: Solve for x
    x = 16,641,540.61/3,579.22
  6. Step 6: Final answer
    x = 4,649.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.