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Finding the Fourth Proportional to 4,165.95, 6,251.40 and 2,218.17

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Solution

The fourth proportional to 4,165.95, 6,251.40 and 2,218.17 is: 3,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.95 : 6,251.40 = 2,218.17 : x
  2. Step 2: Convert to fraction form
    4,165.95/6,251.40 = 2,218.17/x
  3. Step 3: Cross multiply
    4,165.95x = 6,251.40 × 2,218.17
  4. Step 4: Simplify right side
    4,165.95x = 13,866,667.94
  5. Step 5: Solve for x
    x = 13,866,667.94/4,165.95
  6. Step 6: Final answer
    x = 3,328.57

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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.