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Finding the Fourth Proportional to 3,787.65, 5,226.84 and 2,109.06

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Solution

The fourth proportional to 3,787.65, 5,226.84 and 2,109.06 is: 2,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.65 : 5,226.84 = 2,109.06 : x
  2. Step 2: Convert to fraction form
    3,787.65/5,226.84 = 2,109.06/x
  3. Step 3: Cross multiply
    3,787.65x = 5,226.84 × 2,109.06
  4. Step 4: Simplify right side
    3,787.65x = 11,023,719.17
  5. Step 5: Solve for x
    x = 11,023,719.17/3,787.65
  6. Step 6: Final answer
    x = 2,910.44

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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.