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Finding the Fourth Proportional to 5,468.63, 8,202.96 and 2,005.88

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Solution

The fourth proportional to 5,468.63, 8,202.96 and 2,005.88 is: 3,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.63 : 8,202.96 = 2,005.88 : x
  2. Step 2: Convert to fraction form
    5,468.63/8,202.96 = 2,005.88/x
  3. Step 3: Cross multiply
    5,468.63x = 8,202.96 × 2,005.88
  4. Step 4: Simplify right side
    5,468.63x = 16,454,112.39
  5. Step 5: Solve for x
    x = 16,454,112.39/5,468.63
  6. Step 6: Final answer
    x = 3,008.82

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