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Finding the Fourth Proportional to 3,382.40, 5,066.40 and 2,806.40

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Solution

The fourth proportional to 3,382.40, 5,066.40 and 2,806.40 is: 4,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.40 : 5,066.40 = 2,806.40 : x
  2. Step 2: Convert to fraction form
    3,382.40/5,066.40 = 2,806.40/x
  3. Step 3: Cross multiply
    3,382.40x = 5,066.40 × 2,806.40
  4. Step 4: Simplify right side
    3,382.40x = 14,218,344.96
  5. Step 5: Solve for x
    x = 14,218,344.96/3,382.40
  6. Step 6: Final answer
    x = 4,203.63

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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.