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Finding the Fourth Proportional to 3,709.68, 5,120.22 and 2,218.50

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Solution

The fourth proportional to 3,709.68, 5,120.22 and 2,218.50 is: 3,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.68 : 5,120.22 = 2,218.50 : x
  2. Step 2: Convert to fraction form
    3,709.68/5,120.22 = 2,218.50/x
  3. Step 3: Cross multiply
    3,709.68x = 5,120.22 × 2,218.50
  4. Step 4: Simplify right side
    3,709.68x = 11,359,208.07
  5. Step 5: Solve for x
    x = 11,359,208.07/3,709.68
  6. Step 6: Final answer
    x = 3,062.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.