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Finding the Fourth Proportional to 5,650.82, 7,797.90 and 3,098.52

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Solution

The fourth proportional to 5,650.82, 7,797.90 and 3,098.52 is: 4,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.82 : 7,797.90 = 3,098.52 : x
  2. Step 2: Convert to fraction form
    5,650.82/7,797.90 = 3,098.52/x
  3. Step 3: Cross multiply
    5,650.82x = 7,797.90 × 3,098.52
  4. Step 4: Simplify right side
    5,650.82x = 24,161,968.60
  5. Step 5: Solve for x
    x = 24,161,968.60/5,650.82
  6. Step 6: Final answer
    x = 4,275.84

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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.