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Finding the Fourth Proportional to 3,141.93, 4,716.99 and 2,658.06

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Solution

The fourth proportional to 3,141.93, 4,716.99 and 2,658.06 is: 3,990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.93 : 4,716.99 = 2,658.06 : x
  2. Step 2: Convert to fraction form
    3,141.93/4,716.99 = 2,658.06/x
  3. Step 3: Cross multiply
    3,141.93x = 4,716.99 × 2,658.06
  4. Step 4: Simplify right side
    3,141.93x = 12,538,042.44
  5. Step 5: Solve for x
    x = 12,538,042.44/3,141.93
  6. Step 6: Final answer
    x = 3,990.55

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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.