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Finding the Fourth Proportional to 3,898.70, 5,380.16 and 2,406.02

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Solution

The fourth proportional to 3,898.70, 5,380.16 and 2,406.02 is: 3,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.70 : 5,380.16 = 2,406.02 : x
  2. Step 2: Convert to fraction form
    3,898.70/5,380.16 = 2,406.02/x
  3. Step 3: Cross multiply
    3,898.70x = 5,380.16 × 2,406.02
  4. Step 4: Simplify right side
    3,898.70x = 12,944,772.56
  5. Step 5: Solve for x
    x = 12,944,772.56/3,898.70
  6. Step 6: Final answer
    x = 3,320.28

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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.