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Finding the Fourth Proportional to 4,197.70, 5,793.24 and 2,429.20

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Solution

The fourth proportional to 4,197.70, 5,793.24 and 2,429.20 is: 3,352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.70 : 5,793.24 = 2,429.20 : x
  2. Step 2: Convert to fraction form
    4,197.70/5,793.24 = 2,429.20/x
  3. Step 3: Cross multiply
    4,197.70x = 5,793.24 × 2,429.20
  4. Step 4: Simplify right side
    4,197.70x = 14,072,938.61
  5. Step 5: Solve for x
    x = 14,072,938.61/4,197.70
  6. Step 6: Final answer
    x = 3,352.54

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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.