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Finding the Fourth Proportional to 3,787.83, 5,226.62 and 2,295.90

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Solution

The fourth proportional to 3,787.83, 5,226.62 and 2,295.90 is: 3,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.83 : 5,226.62 = 2,295.90 : x
  2. Step 2: Convert to fraction form
    3,787.83/5,226.62 = 2,295.90/x
  3. Step 3: Cross multiply
    3,787.83x = 5,226.62 × 2,295.90
  4. Step 4: Simplify right side
    3,787.83x = 11,999,785.38
  5. Step 5: Solve for x
    x = 11,999,785.38/3,787.83
  6. Step 6: Final answer
    x = 3,167.98

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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.