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Finding the Fourth Proportional to 3,574.24, 4,932.56 and 2,002.40

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Solution

The fourth proportional to 3,574.24, 4,932.56 and 2,002.40 is: 2,763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.24 : 4,932.56 = 2,002.40 : x
  2. Step 2: Convert to fraction form
    3,574.24/4,932.56 = 2,002.40/x
  3. Step 3: Cross multiply
    3,574.24x = 4,932.56 × 2,002.40
  4. Step 4: Simplify right side
    3,574.24x = 9,876,958.14
  5. Step 5: Solve for x
    x = 9,876,958.14/3,574.24
  6. Step 6: Final answer
    x = 2,763.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.