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Finding the Fourth Proportional to 3,653.38, 5,478.43 and 2,266.66

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Solution

The fourth proportional to 3,653.38, 5,478.43 and 2,266.66 is: 3,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.38 : 5,478.43 = 2,266.66 : x
  2. Step 2: Convert to fraction form
    3,653.38/5,478.43 = 2,266.66/x
  3. Step 3: Cross multiply
    3,653.38x = 5,478.43 × 2,266.66
  4. Step 4: Simplify right side
    3,653.38x = 12,417,738.14
  5. Step 5: Solve for x
    x = 12,417,738.14/3,653.38
  6. Step 6: Final answer
    x = 3,398.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.