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Finding the Fourth Proportional to 3,722.70, 5,097.07 and 3,722.70

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Solution

The fourth proportional to 3,722.70, 5,097.07 and 3,722.70 is: 5,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.70 : 5,097.07 = 3,722.70 : x
  2. Step 2: Convert to fraction form
    3,722.70/5,097.07 = 3,722.70/x
  3. Step 3: Cross multiply
    3,722.70x = 5,097.07 × 3,722.70
  4. Step 4: Simplify right side
    3,722.70x = 18,974,862.49
  5. Step 5: Solve for x
    x = 18,974,862.49/3,722.70
  6. Step 6: Final answer
    x = 5,097.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.