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Finding the Fourth Proportional to 3,972.64, 5,482.64 and 2,538

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Solution

The fourth proportional to 3,972.64, 5,482.64 and 2,538 is: 3,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.64 : 5,482.64 = 2,538 : x
  2. Step 2: Convert to fraction form
    3,972.64/5,482.64 = 2,538/x
  3. Step 3: Cross multiply
    3,972.64x = 5,482.64 × 2,538
  4. Step 4: Simplify right side
    3,972.64x = 13,914,940.32
  5. Step 5: Solve for x
    x = 13,914,940.32/3,972.64
  6. Step 6: Final answer
    x = 3,502.69

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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.