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Finding the Fourth Proportional to 3,906, 5,859.63 and 1,309.55

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Solution

The fourth proportional to 3,906, 5,859.63 and 1,309.55 is: 1,964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906 : 5,859.63 = 1,309.55 : x
  2. Step 2: Convert to fraction form
    3,906/5,859.63 = 1,309.55/x
  3. Step 3: Cross multiply
    3,906x = 5,859.63 × 1,309.55
  4. Step 4: Simplify right side
    3,906x = 7,673,449.17
  5. Step 5: Solve for x
    x = 7,673,449.17/3,906
  6. Step 6: Final answer
    x = 1,964.53

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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.