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Finding the Fourth Proportional to 5,246.08, 7,874 and 2,650.84

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Solution

The fourth proportional to 5,246.08, 7,874 and 2,650.84 is: 3,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.08 : 7,874 = 2,650.84 : x
  2. Step 2: Convert to fraction form
    5,246.08/7,874 = 2,650.84/x
  3. Step 3: Cross multiply
    5,246.08x = 7,874 × 2,650.84
  4. Step 4: Simplify right side
    5,246.08x = 20,872,714.16
  5. Step 5: Solve for x
    x = 20,872,714.16/5,246.08
  6. Step 6: Final answer
    x = 3,978.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.