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Finding the Fourth Proportional to 3,149.61, 4,716.17 and 2,107.95

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Solution

The fourth proportional to 3,149.61, 4,716.17 and 2,107.95 is: 3,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.61 : 4,716.17 = 2,107.95 : x
  2. Step 2: Convert to fraction form
    3,149.61/4,716.17 = 2,107.95/x
  3. Step 3: Cross multiply
    3,149.61x = 4,716.17 × 2,107.95
  4. Step 4: Simplify right side
    3,149.61x = 9,941,450.55
  5. Step 5: Solve for x
    x = 9,941,450.55/3,149.61
  6. Step 6: Final answer
    x = 3,156.41

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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.