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Finding the Fourth Proportional to 3,793.17, 5,235.42 and 2,464.57

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Solution

The fourth proportional to 3,793.17, 5,235.42 and 2,464.57 is: 3,401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.17 : 5,235.42 = 2,464.57 : x
  2. Step 2: Convert to fraction form
    3,793.17/5,235.42 = 2,464.57/x
  3. Step 3: Cross multiply
    3,793.17x = 5,235.42 × 2,464.57
  4. Step 4: Simplify right side
    3,793.17x = 12,903,060.99
  5. Step 5: Solve for x
    x = 12,903,060.99/3,793.17
  6. Step 6: Final answer
    x = 3,401.65

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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.