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Finding the Fourth Proportional to 3,794.60, 5,237.55 and 3,400.94

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Solution

The fourth proportional to 3,794.60, 5,237.55 and 3,400.94 is: 4,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.60 : 5,237.55 = 3,400.94 : x
  2. Step 2: Convert to fraction form
    3,794.60/5,237.55 = 3,400.94/x
  3. Step 3: Cross multiply
    3,794.60x = 5,237.55 × 3,400.94
  4. Step 4: Simplify right side
    3,794.60x = 17,812,593.30
  5. Step 5: Solve for x
    x = 17,812,593.30/3,794.60
  6. Step 6: Final answer
    x = 4,694.20

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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.