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Finding the Fourth Proportional to 5,736.47, 7,914.43 and 3,497.53

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Solution

The fourth proportional to 5,736.47, 7,914.43 and 3,497.53 is: 4,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.47 : 7,914.43 = 3,497.53 : x
  2. Step 2: Convert to fraction form
    5,736.47/7,914.43 = 3,497.53/x
  3. Step 3: Cross multiply
    5,736.47x = 7,914.43 × 3,497.53
  4. Step 4: Simplify right side
    5,736.47x = 27,680,965.62
  5. Step 5: Solve for x
    x = 27,680,965.62/5,736.47
  6. Step 6: Final answer
    x = 4,825.43

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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.