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Finding the Fourth Proportional to 3,812.60, 5,715.84 and 2,055.80

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Solution

The fourth proportional to 3,812.60, 5,715.84 and 2,055.80 is: 3,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.60 : 5,715.84 = 2,055.80 : x
  2. Step 2: Convert to fraction form
    3,812.60/5,715.84 = 2,055.80/x
  3. Step 3: Cross multiply
    3,812.60x = 5,715.84 × 2,055.80
  4. Step 4: Simplify right side
    3,812.60x = 11,750,623.87
  5. Step 5: Solve for x
    x = 11,750,623.87/3,812.60
  6. Step 6: Final answer
    x = 3,082.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.