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Finding the Fourth Proportional to 3,213.68, 4,822.34 and 2,291.49

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Solution

The fourth proportional to 3,213.68, 4,822.34 and 2,291.49 is: 3,438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.68 : 4,822.34 = 2,291.49 : x
  2. Step 2: Convert to fraction form
    3,213.68/4,822.34 = 2,291.49/x
  3. Step 3: Cross multiply
    3,213.68x = 4,822.34 × 2,291.49
  4. Step 4: Simplify right side
    3,213.68x = 11,050,332.43
  5. Step 5: Solve for x
    x = 11,050,332.43/3,213.68
  6. Step 6: Final answer
    x = 3,438.53

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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.