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Finding the Fourth Proportional to 4,193.89, 5,787.87 and 2,775.09

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Solution

The fourth proportional to 4,193.89, 5,787.87 and 2,775.09 is: 3,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.89 : 5,787.87 = 2,775.09 : x
  2. Step 2: Convert to fraction form
    4,193.89/5,787.87 = 2,775.09/x
  3. Step 3: Cross multiply
    4,193.89x = 5,787.87 × 2,775.09
  4. Step 4: Simplify right side
    4,193.89x = 16,061,871.46
  5. Step 5: Solve for x
    x = 16,061,871.46/4,193.89
  6. Step 6: Final answer
    x = 3,829.83

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1.5x scale

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.