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Finding the Fourth Proportional to 4,103.82, 5,662.62 and 2,335.46

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Solution

The fourth proportional to 4,103.82, 5,662.62 and 2,335.46 is: 3,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.82 : 5,662.62 = 2,335.46 : x
  2. Step 2: Convert to fraction form
    4,103.82/5,662.62 = 2,335.46/x
  3. Step 3: Cross multiply
    4,103.82x = 5,662.62 × 2,335.46
  4. Step 4: Simplify right side
    4,103.82x = 13,224,799.59
  5. Step 5: Solve for x
    x = 13,224,799.59/4,103.82
  6. Step 6: Final answer
    x = 3,222.56

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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.