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Finding the Fourth Proportional to 3,719.40, 5,132.84 and 2,040.71

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Solution

The fourth proportional to 3,719.40, 5,132.84 and 2,040.71 is: 2,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.40 : 5,132.84 = 2,040.71 : x
  2. Step 2: Convert to fraction form
    3,719.40/5,132.84 = 2,040.71/x
  3. Step 3: Cross multiply
    3,719.40x = 5,132.84 × 2,040.71
  4. Step 4: Simplify right side
    3,719.40x = 10,474,602.05
  5. Step 5: Solve for x
    x = 10,474,602.05/3,719.40
  6. Step 6: Final answer
    x = 2,816.21

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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.