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Finding the Fourth Proportional to 3,574.33, 4,932.57 and 2,002.42

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Solution

The fourth proportional to 3,574.33, 4,932.57 and 2,002.42 is: 2,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.33 : 4,932.57 = 2,002.42 : x
  2. Step 2: Convert to fraction form
    3,574.33/4,932.57 = 2,002.42/x
  3. Step 3: Cross multiply
    3,574.33x = 4,932.57 × 2,002.42
  4. Step 4: Simplify right side
    3,574.33x = 9,877,064.49
  5. Step 5: Solve for x
    x = 9,877,064.49/3,574.33
  6. Step 6: Final answer
    x = 2,763.34

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1.5x scale

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.