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Finding the Fourth Proportional to 3,811.90, 5,719.01 and 1,812.11

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Solution

The fourth proportional to 3,811.90, 5,719.01 and 1,812.11 is: 2,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.90 : 5,719.01 = 1,812.11 : x
  2. Step 2: Convert to fraction form
    3,811.90/5,719.01 = 1,812.11/x
  3. Step 3: Cross multiply
    3,811.90x = 5,719.01 × 1,812.11
  4. Step 4: Simplify right side
    3,811.90x = 10,363,475.21
  5. Step 5: Solve for x
    x = 10,363,475.21/3,811.90
  6. Step 6: Final answer
    x = 2,718.72

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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.