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Finding the Fourth Proportional to 4,039.96, 6,019.31 and 3,775

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Solution

The fourth proportional to 4,039.96, 6,019.31 and 3,775 is: 5,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039.96 : 6,019.31 = 3,775 : x
  2. Step 2: Convert to fraction form
    4,039.96/6,019.31 = 3,775/x
  3. Step 3: Cross multiply
    4,039.96x = 6,019.31 × 3,775
  4. Step 4: Simplify right side
    4,039.96x = 22,722,895.25
  5. Step 5: Solve for x
    x = 22,722,895.25/4,039.96
  6. Step 6: Final answer
    x = 5,624.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.