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Finding the Fourth Proportional to 3,574.50, 4,932.63 and 2,002.38

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Solution

The fourth proportional to 3,574.50, 4,932.63 and 2,002.38 is: 2,763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.50 : 4,932.63 = 2,002.38 : x
  2. Step 2: Convert to fraction form
    3,574.50/4,932.63 = 2,002.38/x
  3. Step 3: Cross multiply
    3,574.50x = 4,932.63 × 2,002.38
  4. Step 4: Simplify right side
    3,574.50x = 9,876,999.66
  5. Step 5: Solve for x
    x = 9,876,999.66/3,574.50
  6. Step 6: Final answer
    x = 2,763.18

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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.