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Finding the Fourth Proportional to 4,010, 5,532.42 and 2,241.20

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Solution

The fourth proportional to 4,010, 5,532.42 and 2,241.20 is: 3,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010 : 5,532.42 = 2,241.20 : x
  2. Step 2: Convert to fraction form
    4,010/5,532.42 = 2,241.20/x
  3. Step 3: Cross multiply
    4,010x = 5,532.42 × 2,241.20
  4. Step 4: Simplify right side
    4,010x = 12,399,259.70
  5. Step 5: Solve for x
    x = 12,399,259.70/4,010
  6. Step 6: Final answer
    x = 3,092.08

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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.