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Finding the Fourth Proportional to 5,648.44, 8,471.62 and 2,360.65

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Solution

The fourth proportional to 5,648.44, 8,471.62 and 2,360.65 is: 3,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.44 : 8,471.62 = 2,360.65 : x
  2. Step 2: Convert to fraction form
    5,648.44/8,471.62 = 2,360.65/x
  3. Step 3: Cross multiply
    5,648.44x = 8,471.62 × 2,360.65
  4. Step 4: Simplify right side
    5,648.44x = 19,998,529.75
  5. Step 5: Solve for x
    x = 19,998,529.75/5,648.44
  6. Step 6: Final answer
    x = 3,540.54

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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.