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Finding the Fourth Proportional to 3,616.74, 4,988.97 and 2,218.50

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Solution

The fourth proportional to 3,616.74, 4,988.97 and 2,218.50 is: 3,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.74 : 4,988.97 = 2,218.50 : x
  2. Step 2: Convert to fraction form
    3,616.74/4,988.97 = 2,218.50/x
  3. Step 3: Cross multiply
    3,616.74x = 4,988.97 × 2,218.50
  4. Step 4: Simplify right side
    3,616.74x = 11,068,029.95
  5. Step 5: Solve for x
    x = 11,068,029.95/3,616.74
  6. Step 6: Final answer
    x = 3,060.22

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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.