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Finding the Fourth Proportional to 3,787.57, 5,228.45 and 2,546.29

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Solution

The fourth proportional to 3,787.57, 5,228.45 and 2,546.29 is: 3,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.57 : 5,228.45 = 2,546.29 : x
  2. Step 2: Convert to fraction form
    3,787.57/5,228.45 = 2,546.29/x
  3. Step 3: Cross multiply
    3,787.57x = 5,228.45 × 2,546.29
  4. Step 4: Simplify right side
    3,787.57x = 13,313,130.17
  5. Step 5: Solve for x
    x = 13,313,130.17/3,787.57
  6. Step 6: Final answer
    x = 3,514.96

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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.