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Finding the Fourth Proportional to 3,812.77, 5,258.14 and 2,396.62

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Solution

The fourth proportional to 3,812.77, 5,258.14 and 2,396.62 is: 3,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.77 : 5,258.14 = 2,396.62 : x
  2. Step 2: Convert to fraction form
    3,812.77/5,258.14 = 2,396.62/x
  3. Step 3: Cross multiply
    3,812.77x = 5,258.14 × 2,396.62
  4. Step 4: Simplify right side
    3,812.77x = 12,601,763.49
  5. Step 5: Solve for x
    x = 12,601,763.49/3,812.77
  6. Step 6: Final answer
    x = 3,305.15

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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.