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Finding the Fourth Proportional to 3,787.40, 5,674.06 and 2,057.48

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Solution

The fourth proportional to 3,787.40, 5,674.06 and 2,057.48 is: 3,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.40 : 5,674.06 = 2,057.48 : x
  2. Step 2: Convert to fraction form
    3,787.40/5,674.06 = 2,057.48/x
  3. Step 3: Cross multiply
    3,787.40x = 5,674.06 × 2,057.48
  4. Step 4: Simplify right side
    3,787.40x = 11,674,264.97
  5. Step 5: Solve for x
    x = 11,674,264.97/3,787.40
  6. Step 6: Final answer
    x = 3,082.40

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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.