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Finding the Fourth Proportional to 4,309.29, 5,944.05 and 2,982.51

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Solution

The fourth proportional to 4,309.29, 5,944.05 and 2,982.51 is: 4,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.29 : 5,944.05 = 2,982.51 : x
  2. Step 2: Convert to fraction form
    4,309.29/5,944.05 = 2,982.51/x
  3. Step 3: Cross multiply
    4,309.29x = 5,944.05 × 2,982.51
  4. Step 4: Simplify right side
    4,309.29x = 17,728,188.57
  5. Step 5: Solve for x
    x = 17,728,188.57/4,309.29
  6. Step 6: Final answer
    x = 4,113.95

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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.