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Finding the Fourth Proportional to 3,787.28, 5,224.68 and 2,214.80

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Solution

The fourth proportional to 3,787.28, 5,224.68 and 2,214.80 is: 3,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.28 : 5,224.68 = 2,214.80 : x
  2. Step 2: Convert to fraction form
    3,787.28/5,224.68 = 2,214.80/x
  3. Step 3: Cross multiply
    3,787.28x = 5,224.68 × 2,214.80
  4. Step 4: Simplify right side
    3,787.28x = 11,571,621.26
  5. Step 5: Solve for x
    x = 11,571,621.26/3,787.28
  6. Step 6: Final answer
    x = 3,055.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.