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Finding the Fourth Proportional to 3,884.80, 5,362.16 and 2,643.52

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Solution

The fourth proportional to 3,884.80, 5,362.16 and 2,643.52 is: 3,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.80 : 5,362.16 = 2,643.52 : x
  2. Step 2: Convert to fraction form
    3,884.80/5,362.16 = 2,643.52/x
  3. Step 3: Cross multiply
    3,884.80x = 5,362.16 × 2,643.52
  4. Step 4: Simplify right side
    3,884.80x = 14,174,977.20
  5. Step 5: Solve for x
    x = 14,174,977.20/3,884.80
  6. Step 6: Final answer
    x = 3,648.83

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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.