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Finding the Fourth Proportional to 3,719.71, 5,133.16 and 2,147.77

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Solution

The fourth proportional to 3,719.71, 5,133.16 and 2,147.77 is: 2,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.71 : 5,133.16 = 2,147.77 : x
  2. Step 2: Convert to fraction form
    3,719.71/5,133.16 = 2,147.77/x
  3. Step 3: Cross multiply
    3,719.71x = 5,133.16 × 2,147.77
  4. Step 4: Simplify right side
    3,719.71x = 11,024,847.05
  5. Step 5: Solve for x
    x = 11,024,847.05/3,719.71
  6. Step 6: Final answer
    x = 2,963.90

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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.