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Finding the Fourth Proportional to 3,653.91, 5,042.03 and 2,238

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Solution

The fourth proportional to 3,653.91, 5,042.03 and 2,238 is: 3,088.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.91 : 5,042.03 = 2,238 : x
  2. Step 2: Convert to fraction form
    3,653.91/5,042.03 = 2,238/x
  3. Step 3: Cross multiply
    3,653.91x = 5,042.03 × 2,238
  4. Step 4: Simplify right side
    3,653.91x = 11,284,051.95
  5. Step 5: Solve for x
    x = 11,284,051.95/3,653.91
  6. Step 6: Final answer
    x = 3,088.21

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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.