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Finding the Fourth Proportional to 3,788.84, 5,227.80 and 2,216.62

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Solution

The fourth proportional to 3,788.84, 5,227.80 and 2,216.62 is: 3,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.84 : 5,227.80 = 2,216.62 : x
  2. Step 2: Convert to fraction form
    3,788.84/5,227.80 = 2,216.62/x
  3. Step 3: Cross multiply
    3,788.84x = 5,227.80 × 2,216.62
  4. Step 4: Simplify right side
    3,788.84x = 11,588,046.04
  5. Step 5: Solve for x
    x = 11,588,046.04/3,788.84
  6. Step 6: Final answer
    x = 3,058.47

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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.