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Finding the Fourth Proportional to 3,800.29, 5,238.65 and 2,959.51

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Solution

The fourth proportional to 3,800.29, 5,238.65 and 2,959.51 is: 4,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.29 : 5,238.65 = 2,959.51 : x
  2. Step 2: Convert to fraction form
    3,800.29/5,238.65 = 2,959.51/x
  3. Step 3: Cross multiply
    3,800.29x = 5,238.65 × 2,959.51
  4. Step 4: Simplify right side
    3,800.29x = 15,503,837.06
  5. Step 5: Solve for x
    x = 15,503,837.06/3,800.29
  6. Step 6: Final answer
    x = 4,079.65

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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.