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Finding the Fourth Proportional to 3,872.64, 5,343.66 and 2,300.70

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Solution

The fourth proportional to 3,872.64, 5,343.66 and 2,300.70 is: 3,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.64 : 5,343.66 = 2,300.70 : x
  2. Step 2: Convert to fraction form
    3,872.64/5,343.66 = 2,300.70/x
  3. Step 3: Cross multiply
    3,872.64x = 5,343.66 × 2,300.70
  4. Step 4: Simplify right side
    3,872.64x = 12,294,158.56
  5. Step 5: Solve for x
    x = 12,294,158.56/3,872.64
  6. Step 6: Final answer
    x = 3,174.62

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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.