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Finding the Fourth Proportional to 3,648.80, 5,464.46 and 2,658.96

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Solution

The fourth proportional to 3,648.80, 5,464.46 and 2,658.96 is: 3,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.80 : 5,464.46 = 2,658.96 : x
  2. Step 2: Convert to fraction form
    3,648.80/5,464.46 = 2,658.96/x
  3. Step 3: Cross multiply
    3,648.80x = 5,464.46 × 2,658.96
  4. Step 4: Simplify right side
    3,648.80x = 14,529,780.56
  5. Step 5: Solve for x
    x = 14,529,780.56/3,648.80
  6. Step 6: Final answer
    x = 3,982.07

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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.