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Finding the Fourth Proportional to 4,138.40, 6,200.40 and 3,490.40

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Solution

The fourth proportional to 4,138.40, 6,200.40 and 3,490.40 is: 5,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.40 : 6,200.40 = 3,490.40 : x
  2. Step 2: Convert to fraction form
    4,138.40/6,200.40 = 3,490.40/x
  3. Step 3: Cross multiply
    4,138.40x = 6,200.40 × 3,490.40
  4. Step 4: Simplify right side
    4,138.40x = 21,641,876.16
  5. Step 5: Solve for x
    x = 21,641,876.16/4,138.40
  6. Step 6: Final answer
    x = 5,229.53

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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.