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Finding the Fourth Proportional to 3,574.78, 4,933.14 and 2,002.90

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Solution

The fourth proportional to 3,574.78, 4,933.14 and 2,002.90 is: 2,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.78 : 4,933.14 = 2,002.90 : x
  2. Step 2: Convert to fraction form
    3,574.78/4,933.14 = 2,002.90/x
  3. Step 3: Cross multiply
    3,574.78x = 4,933.14 × 2,002.90
  4. Step 4: Simplify right side
    3,574.78x = 9,880,586.11
  5. Step 5: Solve for x
    x = 9,880,586.11/3,574.78
  6. Step 6: Final answer
    x = 2,763.97

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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.