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Finding the Fourth Proportional to 5,792.47, 7,993.74 and 3,274.63

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Solution

The fourth proportional to 5,792.47, 7,993.74 and 3,274.63 is: 4,519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.47 : 7,993.74 = 3,274.63 : x
  2. Step 2: Convert to fraction form
    5,792.47/7,993.74 = 3,274.63/x
  3. Step 3: Cross multiply
    5,792.47x = 7,993.74 × 3,274.63
  4. Step 4: Simplify right side
    5,792.47x = 26,176,540.82
  5. Step 5: Solve for x
    x = 26,176,540.82/5,792.47
  6. Step 6: Final answer
    x = 4,519.06

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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.