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Finding the Fourth Proportional to 3,900.48, 5,382.87 and 2,221.98

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Solution

The fourth proportional to 3,900.48, 5,382.87 and 2,221.98 is: 3,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.48 : 5,382.87 = 2,221.98 : x
  2. Step 2: Convert to fraction form
    3,900.48/5,382.87 = 2,221.98/x
  3. Step 3: Cross multiply
    3,900.48x = 5,382.87 × 2,221.98
  4. Step 4: Simplify right side
    3,900.48x = 11,960,629.48
  5. Step 5: Solve for x
    x = 11,960,629.48/3,900.48
  6. Step 6: Final answer
    x = 3,066.45

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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.