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Finding the Fourth Proportional to 2,965.52, 4,089.84 and 2,221.13

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Solution

The fourth proportional to 2,965.52, 4,089.84 and 2,221.13 is: 3,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.52 : 4,089.84 = 2,221.13 : x
  2. Step 2: Convert to fraction form
    2,965.52/4,089.84 = 2,221.13/x
  3. Step 3: Cross multiply
    2,965.52x = 4,089.84 × 2,221.13
  4. Step 4: Simplify right side
    2,965.52x = 9,084,066.32
  5. Step 5: Solve for x
    x = 9,084,066.32/2,965.52
  6. Step 6: Final answer
    x = 3,063.23

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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.