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Finding the Fourth Proportional to 5,334.62, 7,361.76 and 3,097.80

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Solution

The fourth proportional to 5,334.62, 7,361.76 and 3,097.80 is: 4,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.62 : 7,361.76 = 3,097.80 : x
  2. Step 2: Convert to fraction form
    5,334.62/7,361.76 = 3,097.80/x
  3. Step 3: Cross multiply
    5,334.62x = 7,361.76 × 3,097.80
  4. Step 4: Simplify right side
    5,334.62x = 22,805,260.13
  5. Step 5: Solve for x
    x = 22,805,260.13/5,334.62
  6. Step 6: Final answer
    x = 4,274.95

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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.