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Finding the Fourth Proportional to 3,725.70, 5,141.43 and 2,153.76

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Solution

The fourth proportional to 3,725.70, 5,141.43 and 2,153.76 is: 2,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.70 : 5,141.43 = 2,153.76 : x
  2. Step 2: Convert to fraction form
    3,725.70/5,141.43 = 2,153.76/x
  3. Step 3: Cross multiply
    3,725.70x = 5,141.43 × 2,153.76
  4. Step 4: Simplify right side
    3,725.70x = 11,073,406.28
  5. Step 5: Solve for x
    x = 11,073,406.28/3,725.70
  6. Step 6: Final answer
    x = 2,972.17

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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.