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Finding the Fourth Proportional to 4,093.34, 5,652.42 and 3,043.58

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Solution

The fourth proportional to 4,093.34, 5,652.42 and 3,043.58 is: 4,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.34 : 5,652.42 = 3,043.58 : x
  2. Step 2: Convert to fraction form
    4,093.34/5,652.42 = 3,043.58/x
  3. Step 3: Cross multiply
    4,093.34x = 5,652.42 × 3,043.58
  4. Step 4: Simplify right side
    4,093.34x = 17,203,592.46
  5. Step 5: Solve for x
    x = 17,203,592.46/4,093.34
  6. Step 6: Final answer
    x = 4,202.83

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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.