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Finding the Fourth Proportional to 3,209.59, 4,807.20 and 2,787.73

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Solution

The fourth proportional to 3,209.59, 4,807.20 and 2,787.73 is: 4,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.59 : 4,807.20 = 2,787.73 : x
  2. Step 2: Convert to fraction form
    3,209.59/4,807.20 = 2,787.73/x
  3. Step 3: Cross multiply
    3,209.59x = 4,807.20 × 2,787.73
  4. Step 4: Simplify right side
    3,209.59x = 13,401,175.66
  5. Step 5: Solve for x
    x = 13,401,175.66/3,209.59
  6. Step 6: Final answer
    x = 4,175.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.