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Finding the Fourth Proportional to 5,753.68, 7,938.32 and 3,394.96

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Solution

The fourth proportional to 5,753.68, 7,938.32 and 3,394.96 is: 4,684.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.68 : 7,938.32 = 3,394.96 : x
  2. Step 2: Convert to fraction form
    5,753.68/7,938.32 = 3,394.96/x
  3. Step 3: Cross multiply
    5,753.68x = 7,938.32 × 3,394.96
  4. Step 4: Simplify right side
    5,753.68x = 26,950,278.87
  5. Step 5: Solve for x
    x = 26,950,278.87/5,753.68
  6. Step 6: Final answer
    x = 4,684.01

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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.