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Finding the Fourth Proportional to 3,972.74, 5,482.22 and 2,204.24

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Solution

The fourth proportional to 3,972.74, 5,482.22 and 2,204.24 is: 3,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.74 : 5,482.22 = 2,204.24 : x
  2. Step 2: Convert to fraction form
    3,972.74/5,482.22 = 2,204.24/x
  3. Step 3: Cross multiply
    3,972.74x = 5,482.22 × 2,204.24
  4. Step 4: Simplify right side
    3,972.74x = 12,084,117.59
  5. Step 5: Solve for x
    x = 12,084,117.59/3,972.74
  6. Step 6: Final answer
    x = 3,041.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.