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Finding the Fourth Proportional to 5,724.97, 7,903.21 and 3,601.53

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Solution

The fourth proportional to 5,724.97, 7,903.21 and 3,601.53 is: 4,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.97 : 7,903.21 = 3,601.53 : x
  2. Step 2: Convert to fraction form
    5,724.97/7,903.21 = 3,601.53/x
  3. Step 3: Cross multiply
    5,724.97x = 7,903.21 × 3,601.53
  4. Step 4: Simplify right side
    5,724.97x = 28,463,630.04
  5. Step 5: Solve for x
    x = 28,463,630.04/5,724.97
  6. Step 6: Final answer
    x = 4,971.84

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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.