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Finding the Fourth Proportional to 3,716.48, 5,579.40 and 3,698.12

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Solution

The fourth proportional to 3,716.48, 5,579.40 and 3,698.12 is: 5,551.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.48 : 5,579.40 = 3,698.12 : x
  2. Step 2: Convert to fraction form
    3,716.48/5,579.40 = 3,698.12/x
  3. Step 3: Cross multiply
    3,716.48x = 5,579.40 × 3,698.12
  4. Step 4: Simplify right side
    3,716.48x = 20,633,290.73
  5. Step 5: Solve for x
    x = 20,633,290.73/3,716.48
  6. Step 6: Final answer
    x = 5,551.84

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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.