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Finding the Fourth Proportional to 5,240.64, 7,231.80 and 2,882.40

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Solution

The fourth proportional to 5,240.64, 7,231.80 and 2,882.40 is: 3,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.64 : 7,231.80 = 2,882.40 : x
  2. Step 2: Convert to fraction form
    5,240.64/7,231.80 = 2,882.40/x
  3. Step 3: Cross multiply
    5,240.64x = 7,231.80 × 2,882.40
  4. Step 4: Simplify right side
    5,240.64x = 20,844,940.32
  5. Step 5: Solve for x
    x = 20,844,940.32/5,240.64
  6. Step 6: Final answer
    x = 3,977.56

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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.