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Finding the Fourth Proportional to 3,972.30, 5,482.49 and 2,293.49

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Solution

The fourth proportional to 3,972.30, 5,482.49 and 2,293.49 is: 3,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.30 : 5,482.49 = 2,293.49 : x
  2. Step 2: Convert to fraction form
    3,972.30/5,482.49 = 2,293.49/x
  3. Step 3: Cross multiply
    3,972.30x = 5,482.49 × 2,293.49
  4. Step 4: Simplify right side
    3,972.30x = 12,573,997.11
  5. Step 5: Solve for x
    x = 12,573,997.11/3,972.30
  6. Step 6: Final answer
    x = 3,165.42

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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.