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Finding the Fourth Proportional to 3,693.82, 5,096.32 and 2,434.43

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Solution

The fourth proportional to 3,693.82, 5,096.32 and 2,434.43 is: 3,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.82 : 5,096.32 = 2,434.43 : x
  2. Step 2: Convert to fraction form
    3,693.82/5,096.32 = 2,434.43/x
  3. Step 3: Cross multiply
    3,693.82x = 5,096.32 × 2,434.43
  4. Step 4: Simplify right side
    3,693.82x = 12,406,602.73
  5. Step 5: Solve for x
    x = 12,406,602.73/3,693.82
  6. Step 6: Final answer
    x = 3,358.75

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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.