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Finding the Fourth Proportional to 4,978.60, 6,867.66 and 2,882.44

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Solution

The fourth proportional to 4,978.60, 6,867.66 and 2,882.44 is: 3,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.60 : 6,867.66 = 2,882.44 : x
  2. Step 2: Convert to fraction form
    4,978.60/6,867.66 = 2,882.44/x
  3. Step 3: Cross multiply
    4,978.60x = 6,867.66 × 2,882.44
  4. Step 4: Simplify right side
    4,978.60x = 19,795,617.89
  5. Step 5: Solve for x
    x = 19,795,617.89/4,978.60
  6. Step 6: Final answer
    x = 3,976.14

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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.