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Finding the Fourth Proportional to 4,362.63, 6,542.31 and 2,170.20

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Solution

The fourth proportional to 4,362.63, 6,542.31 and 2,170.20 is: 3,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.63 : 6,542.31 = 2,170.20 : x
  2. Step 2: Convert to fraction form
    4,362.63/6,542.31 = 2,170.20/x
  3. Step 3: Cross multiply
    4,362.63x = 6,542.31 × 2,170.20
  4. Step 4: Simplify right side
    4,362.63x = 14,198,121.16
  5. Step 5: Solve for x
    x = 14,198,121.16/4,362.63
  6. Step 6: Final answer
    x = 3,254.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.