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Finding the Fourth Proportional to 4,108.60, 5,669.64 and 2,340.22

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Solution

The fourth proportional to 4,108.60, 5,669.64 and 2,340.22 is: 3,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.60 : 5,669.64 = 2,340.22 : x
  2. Step 2: Convert to fraction form
    4,108.60/5,669.64 = 2,340.22/x
  3. Step 3: Cross multiply
    4,108.60x = 5,669.64 × 2,340.22
  4. Step 4: Simplify right side
    4,108.60x = 13,268,204.92
  5. Step 5: Solve for x
    x = 13,268,204.92/4,108.60
  6. Step 6: Final answer
    x = 3,229.37

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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.