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Finding the Fourth Proportional to 3,869.62, 5,343.10 and 2,378.21

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Solution

The fourth proportional to 3,869.62, 5,343.10 and 2,378.21 is: 3,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.62 : 5,343.10 = 2,378.21 : x
  2. Step 2: Convert to fraction form
    3,869.62/5,343.10 = 2,378.21/x
  3. Step 3: Cross multiply
    3,869.62x = 5,343.10 × 2,378.21
  4. Step 4: Simplify right side
    3,869.62x = 12,706,981.19
  5. Step 5: Solve for x
    x = 12,706,981.19/3,869.62
  6. Step 6: Final answer
    x = 3,283.78

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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.