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Finding the Fourth Proportional to 3,787.79, 5,226.88 and 2,371.41

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Solution

The fourth proportional to 3,787.79, 5,226.88 and 2,371.41 is: 3,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.79 : 5,226.88 = 2,371.41 : x
  2. Step 2: Convert to fraction form
    3,787.79/5,226.88 = 2,371.41/x
  3. Step 3: Cross multiply
    3,787.79x = 5,226.88 × 2,371.41
  4. Step 4: Simplify right side
    3,787.79x = 12,395,075.50
  5. Step 5: Solve for x
    x = 12,395,075.50/3,787.79
  6. Step 6: Final answer
    x = 3,272.38

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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.