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Finding the Fourth Proportional to 3,788.80, 5,228.48 and 2,216.96

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Solution

The fourth proportional to 3,788.80, 5,228.48 and 2,216.96 is: 3,059.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.80 : 5,228.48 = 2,216.96 : x
  2. Step 2: Convert to fraction form
    3,788.80/5,228.48 = 2,216.96/x
  3. Step 3: Cross multiply
    3,788.80x = 5,228.48 × 2,216.96
  4. Step 4: Simplify right side
    3,788.80x = 11,591,331.02
  5. Step 5: Solve for x
    x = 11,591,331.02/3,788.80
  6. Step 6: Final answer
    x = 3,059.37

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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.