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Finding the Fourth Proportional to 5,380.74, 8,065.62 and 2,605.68

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Solution

The fourth proportional to 5,380.74, 8,065.62 and 2,605.68 is: 3,905.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.74 : 8,065.62 = 2,605.68 : x
  2. Step 2: Convert to fraction form
    5,380.74/8,065.62 = 2,605.68/x
  3. Step 3: Cross multiply
    5,380.74x = 8,065.62 × 2,605.68
  4. Step 4: Simplify right side
    5,380.74x = 21,016,424.72
  5. Step 5: Solve for x
    x = 21,016,424.72/5,380.74
  6. Step 6: Final answer
    x = 3,905.86

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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.