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Finding the Fourth Proportional to 3,408.71, 5,106.56 and 2,856.95

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Solution

The fourth proportional to 3,408.71, 5,106.56 and 2,856.95 is: 4,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.71 : 5,106.56 = 2,856.95 : x
  2. Step 2: Convert to fraction form
    3,408.71/5,106.56 = 2,856.95/x
  3. Step 3: Cross multiply
    3,408.71x = 5,106.56 × 2,856.95
  4. Step 4: Simplify right side
    3,408.71x = 14,589,185.07
  5. Step 5: Solve for x
    x = 14,589,185.07/3,408.71
  6. Step 6: Final answer
    x = 4,279.97

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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.