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Finding the Fourth Proportional to 5,032.30, 6,944.31 and 2,794

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Solution

The fourth proportional to 5,032.30, 6,944.31 and 2,794 is: 3,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.30 : 6,944.31 = 2,794 : x
  2. Step 2: Convert to fraction form
    5,032.30/6,944.31 = 2,794/x
  3. Step 3: Cross multiply
    5,032.30x = 6,944.31 × 2,794
  4. Step 4: Simplify right side
    5,032.30x = 19,402,402.14
  5. Step 5: Solve for x
    x = 19,402,402.14/5,032.30
  6. Step 6: Final answer
    x = 3,855.57

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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.