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Finding the Fourth Proportional to 5,736.52, 7,914.90 and 3,218.08

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Solution

The fourth proportional to 5,736.52, 7,914.90 and 3,218.08 is: 4,440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.52 : 7,914.90 = 3,218.08 : x
  2. Step 2: Convert to fraction form
    5,736.52/7,914.90 = 3,218.08/x
  3. Step 3: Cross multiply
    5,736.52x = 7,914.90 × 3,218.08
  4. Step 4: Simplify right side
    5,736.52x = 25,470,781.39
  5. Step 5: Solve for x
    x = 25,470,781.39/5,736.52
  6. Step 6: Final answer
    x = 4,440.11

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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.