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Finding the Fourth Proportional to 4,758.41, 7,132.49 and 1,982.97

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Solution

The fourth proportional to 4,758.41, 7,132.49 and 1,982.97 is: 2,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.41 : 7,132.49 = 1,982.97 : x
  2. Step 2: Convert to fraction form
    4,758.41/7,132.49 = 1,982.97/x
  3. Step 3: Cross multiply
    4,758.41x = 7,132.49 × 1,982.97
  4. Step 4: Simplify right side
    4,758.41x = 14,143,513.70
  5. Step 5: Solve for x
    x = 14,143,513.70/4,758.41
  6. Step 6: Final answer
    x = 2,972.32

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1.5x scale

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.