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Finding the Fourth Proportional to 5,309.40, 7,961.94 and 2,386.92

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Solution

The fourth proportional to 5,309.40, 7,961.94 and 2,386.92 is: 3,579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.40 : 7,961.94 = 2,386.92 : x
  2. Step 2: Convert to fraction form
    5,309.40/7,961.94 = 2,386.92/x
  3. Step 3: Cross multiply
    5,309.40x = 7,961.94 × 2,386.92
  4. Step 4: Simplify right side
    5,309.40x = 19,004,513.82
  5. Step 5: Solve for x
    x = 19,004,513.82/5,309.40
  6. Step 6: Final answer
    x = 3,579.41

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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.