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Finding the Fourth Proportional to 3,898.70, 5,380.21 and 2,406.27

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Solution

The fourth proportional to 3,898.70, 5,380.21 and 2,406.27 is: 3,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.70 : 5,380.21 = 2,406.27 : x
  2. Step 2: Convert to fraction form
    3,898.70/5,380.21 = 2,406.27/x
  3. Step 3: Cross multiply
    3,898.70x = 5,380.21 × 2,406.27
  4. Step 4: Simplify right side
    3,898.70x = 12,946,225.89
  5. Step 5: Solve for x
    x = 12,946,225.89/3,898.70
  6. Step 6: Final answer
    x = 3,320.66

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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.