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Finding the Fourth Proportional to 3,534.33, 5,293.60 and 2,753.09

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Solution

The fourth proportional to 3,534.33, 5,293.60 and 2,753.09 is: 4,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.33 : 5,293.60 = 2,753.09 : x
  2. Step 2: Convert to fraction form
    3,534.33/5,293.60 = 2,753.09/x
  3. Step 3: Cross multiply
    3,534.33x = 5,293.60 × 2,753.09
  4. Step 4: Simplify right side
    3,534.33x = 14,573,716.99
  5. Step 5: Solve for x
    x = 14,573,716.99/3,534.33
  6. Step 6: Final answer
    x = 4,123.47

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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.