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Finding the Fourth Proportional to 3,693.42, 5,096.01 and 2,257.42

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Solution

The fourth proportional to 3,693.42, 5,096.01 and 2,257.42 is: 3,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.42 : 5,096.01 = 2,257.42 : x
  2. Step 2: Convert to fraction form
    3,693.42/5,096.01 = 2,257.42/x
  3. Step 3: Cross multiply
    3,693.42x = 5,096.01 × 2,257.42
  4. Step 4: Simplify right side
    3,693.42x = 11,503,840.17
  5. Step 5: Solve for x
    x = 11,503,840.17/3,693.42
  6. Step 6: Final answer
    x = 3,114.68

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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.