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Finding the Fourth Proportional to 4,220, 6,331.70 and 2,138.88

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Solution

The fourth proportional to 4,220, 6,331.70 and 2,138.88 is: 3,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220 : 6,331.70 = 2,138.88 : x
  2. Step 2: Convert to fraction form
    4,220/6,331.70 = 2,138.88/x
  3. Step 3: Cross multiply
    4,220x = 6,331.70 × 2,138.88
  4. Step 4: Simplify right side
    4,220x = 13,542,746.50
  5. Step 5: Solve for x
    x = 13,542,746.50/4,220
  6. Step 6: Final answer
    x = 3,209.18

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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.