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Finding the Fourth Proportional to 5,836.25, 8,744.36 and 3,860.06

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Solution

The fourth proportional to 5,836.25, 8,744.36 and 3,860.06 is: 5,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.25 : 8,744.36 = 3,860.06 : x
  2. Step 2: Convert to fraction form
    5,836.25/8,744.36 = 3,860.06/x
  3. Step 3: Cross multiply
    5,836.25x = 8,744.36 × 3,860.06
  4. Step 4: Simplify right side
    5,836.25x = 33,753,691.24
  5. Step 5: Solve for x
    x = 33,753,691.24/5,836.25
  6. Step 6: Final answer
    x = 5,783.45

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