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Finding the Fourth Proportional to 5,468.76, 8,203.95 and 2,871.90

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Solution

The fourth proportional to 5,468.76, 8,203.95 and 2,871.90 is: 4,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.76 : 8,203.95 = 2,871.90 : x
  2. Step 2: Convert to fraction form
    5,468.76/8,203.95 = 2,871.90/x
  3. Step 3: Cross multiply
    5,468.76x = 8,203.95 × 2,871.90
  4. Step 4: Simplify right side
    5,468.76x = 23,560,924.01
  5. Step 5: Solve for x
    x = 23,560,924.01/5,468.76
  6. Step 6: Final answer
    x = 4,308.28

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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.