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Finding the Fourth Proportional to 4,220.62, 5,824.62 and 2,332.30

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Solution

The fourth proportional to 4,220.62, 5,824.62 and 2,332.30 is: 3,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.62 : 5,824.62 = 2,332.30 : x
  2. Step 2: Convert to fraction form
    4,220.62/5,824.62 = 2,332.30/x
  3. Step 3: Cross multiply
    4,220.62x = 5,824.62 × 2,332.30
  4. Step 4: Simplify right side
    4,220.62x = 13,584,761.23
  5. Step 5: Solve for x
    x = 13,584,761.23/4,220.62
  6. Step 6: Final answer
    x = 3,218.66

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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.