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Finding the Fourth Proportional to 3,344.64, 4,614.40 and 1,872.64

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Solution

The fourth proportional to 3,344.64, 4,614.40 and 1,872.64 is: 2,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.64 : 4,614.40 = 1,872.64 : x
  2. Step 2: Convert to fraction form
    3,344.64/4,614.40 = 1,872.64/x
  3. Step 3: Cross multiply
    3,344.64x = 4,614.40 × 1,872.64
  4. Step 4: Simplify right side
    3,344.64x = 8,641,110.02
  5. Step 5: Solve for x
    x = 8,641,110.02/3,344.64
  6. Step 6: Final answer
    x = 2,583.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.