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Finding the Fourth Proportional to 3,542.36, 4,888.22 and 2,216

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Solution

The fourth proportional to 3,542.36, 4,888.22 and 2,216 is: 3,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.36 : 4,888.22 = 2,216 : x
  2. Step 2: Convert to fraction form
    3,542.36/4,888.22 = 2,216/x
  3. Step 3: Cross multiply
    3,542.36x = 4,888.22 × 2,216
  4. Step 4: Simplify right side
    3,542.36x = 10,832,295.52
  5. Step 5: Solve for x
    x = 10,832,295.52/3,542.36
  6. Step 6: Final answer
    x = 3,057.93

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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.