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Finding the Fourth Proportional to 3,322.24, 4,974.04 and 1,758.71

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Solution

The fourth proportional to 3,322.24, 4,974.04 and 1,758.71 is: 2,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.24 : 4,974.04 = 1,758.71 : x
  2. Step 2: Convert to fraction form
    3,322.24/4,974.04 = 1,758.71/x
  3. Step 3: Cross multiply
    3,322.24x = 4,974.04 × 1,758.71
  4. Step 4: Simplify right side
    3,322.24x = 8,747,869.02
  5. Step 5: Solve for x
    x = 8,747,869.02/3,322.24
  6. Step 6: Final answer
    x = 2,633.13

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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.