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Finding the Fourth Proportional to 3,787.44, 5,228.28 and 2,546.16

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Solution

The fourth proportional to 3,787.44, 5,228.28 and 2,546.16 is: 3,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.44 : 5,228.28 = 2,546.16 : x
  2. Step 2: Convert to fraction form
    3,787.44/5,228.28 = 2,546.16/x
  3. Step 3: Cross multiply
    3,787.44x = 5,228.28 × 2,546.16
  4. Step 4: Simplify right side
    3,787.44x = 13,312,037.40
  5. Step 5: Solve for x
    x = 13,312,037.40/3,787.44
  6. Step 6: Final answer
    x = 3,514.79

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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.