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Finding the Fourth Proportional to 3,687.22, 5,089.02 and 2,196

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Solution

The fourth proportional to 3,687.22, 5,089.02 and 2,196 is: 3,030.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.22 : 5,089.02 = 2,196 : x
  2. Step 2: Convert to fraction form
    3,687.22/5,089.02 = 2,196/x
  3. Step 3: Cross multiply
    3,687.22x = 5,089.02 × 2,196
  4. Step 4: Simplify right side
    3,687.22x = 11,175,487.92
  5. Step 5: Solve for x
    x = 11,175,487.92/3,687.22
  6. Step 6: Final answer
    x = 3,030.87

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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.