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Finding the Fourth Proportional to 5,468, 8,202.40 and 2,005.60

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Solution

The fourth proportional to 5,468, 8,202.40 and 2,005.60 is: 3,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468 : 8,202.40 = 2,005.60 : x
  2. Step 2: Convert to fraction form
    5,468/8,202.40 = 2,005.60/x
  3. Step 3: Cross multiply
    5,468x = 8,202.40 × 2,005.60
  4. Step 4: Simplify right side
    5,468x = 16,450,733.44
  5. Step 5: Solve for x
    x = 16,450,733.44/5,468
  6. Step 6: Final answer
    x = 3,008.55

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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.