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Finding the Fourth Proportional to 3,494.55, 4,822.34 and 2,233.83

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Solution

The fourth proportional to 3,494.55, 4,822.34 and 2,233.83 is: 3,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.55 : 4,822.34 = 2,233.83 : x
  2. Step 2: Convert to fraction form
    3,494.55/4,822.34 = 2,233.83/x
  3. Step 3: Cross multiply
    3,494.55x = 4,822.34 × 2,233.83
  4. Step 4: Simplify right side
    3,494.55x = 10,772,276.59
  5. Step 5: Solve for x
    x = 10,772,276.59/3,494.55
  6. Step 6: Final answer
    x = 3,082.59

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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.