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Finding the Fourth Proportional to 6,005.12, 8,288.08 and 3,648.80

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Solution

The fourth proportional to 6,005.12, 8,288.08 and 3,648.80 is: 5,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.12 : 8,288.08 = 3,648.80 : x
  2. Step 2: Convert to fraction form
    6,005.12/8,288.08 = 3,648.80/x
  3. Step 3: Cross multiply
    6,005.12x = 8,288.08 × 3,648.80
  4. Step 4: Simplify right side
    6,005.12x = 30,241,546.30
  5. Step 5: Solve for x
    x = 30,241,546.30/6,005.12
  6. Step 6: Final answer
    x = 5,035.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.