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Finding the Fourth Proportional to 3,538.91, 5,326.14 and 2,665.94

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Solution

The fourth proportional to 3,538.91, 5,326.14 and 2,665.94 is: 4,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.91 : 5,326.14 = 2,665.94 : x
  2. Step 2: Convert to fraction form
    3,538.91/5,326.14 = 2,665.94/x
  3. Step 3: Cross multiply
    3,538.91x = 5,326.14 × 2,665.94
  4. Step 4: Simplify right side
    3,538.91x = 14,199,143.04
  5. Step 5: Solve for x
    x = 14,199,143.04/3,538.91
  6. Step 6: Final answer
    x = 4,012.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.