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Finding the Fourth Proportional to 3,824.70, 5,737.05 and 2,852.70

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Solution

The fourth proportional to 3,824.70, 5,737.05 and 2,852.70 is: 4,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.70 : 5,737.05 = 2,852.70 : x
  2. Step 2: Convert to fraction form
    3,824.70/5,737.05 = 2,852.70/x
  3. Step 3: Cross multiply
    3,824.70x = 5,737.05 × 2,852.70
  4. Step 4: Simplify right side
    3,824.70x = 16,366,082.54
  5. Step 5: Solve for x
    x = 16,366,082.54/3,824.70
  6. Step 6: Final answer
    x = 4,279.05

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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.