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Finding the Fourth Proportional to 3,972.66, 5,482.29 and 2,204.22

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Solution

The fourth proportional to 3,972.66, 5,482.29 and 2,204.22 is: 3,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.66 : 5,482.29 = 2,204.22 : x
  2. Step 2: Convert to fraction form
    3,972.66/5,482.29 = 2,204.22/x
  3. Step 3: Cross multiply
    3,972.66x = 5,482.29 × 2,204.22
  4. Step 4: Simplify right side
    3,972.66x = 12,084,173.26
  5. Step 5: Solve for x
    x = 12,084,173.26/3,972.66
  6. Step 6: Final answer
    x = 3,041.83

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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.