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Finding the Fourth Proportional to 5,468.90, 8,204.15 and 2,005.88

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Solution

The fourth proportional to 5,468.90, 8,204.15 and 2,005.88 is: 3,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.90 : 8,204.15 = 2,005.88 : x
  2. Step 2: Convert to fraction form
    5,468.90/8,204.15 = 2,005.88/x
  3. Step 3: Cross multiply
    5,468.90x = 8,204.15 × 2,005.88
  4. Step 4: Simplify right side
    5,468.90x = 16,456,504.40
  5. Step 5: Solve for x
    x = 16,456,504.40/5,468.90
  6. Step 6: Final answer
    x = 3,009.11

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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.