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Finding the Fourth Proportional to 4,223.62, 5,797.43 and 3,740.98

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Solution

The fourth proportional to 4,223.62, 5,797.43 and 3,740.98 is: 5,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.62 : 5,797.43 = 3,740.98 : x
  2. Step 2: Convert to fraction form
    4,223.62/5,797.43 = 3,740.98/x
  3. Step 3: Cross multiply
    4,223.62x = 5,797.43 × 3,740.98
  4. Step 4: Simplify right side
    4,223.62x = 21,688,069.68
  5. Step 5: Solve for x
    x = 21,688,069.68/4,223.62
  6. Step 6: Final answer
    x = 5,134.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.