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Finding the Fourth Proportional to 3,787.51, 5,226.25 and 2,108.70

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Solution

The fourth proportional to 3,787.51, 5,226.25 and 2,108.70 is: 2,909.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.51 : 5,226.25 = 2,108.70 : x
  2. Step 2: Convert to fraction form
    3,787.51/5,226.25 = 2,108.70/x
  3. Step 3: Cross multiply
    3,787.51x = 5,226.25 × 2,108.70
  4. Step 4: Simplify right side
    3,787.51x = 11,020,593.38
  5. Step 5: Solve for x
    x = 11,020,593.38/3,787.51
  6. Step 6: Final answer
    x = 2,909.72

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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.