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Finding the Fourth Proportional to 3,716.85, 5,129.26 and 2,038.27

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Solution

The fourth proportional to 3,716.85, 5,129.26 and 2,038.27 is: 2,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.85 : 5,129.26 = 2,038.27 : x
  2. Step 2: Convert to fraction form
    3,716.85/5,129.26 = 2,038.27/x
  3. Step 3: Cross multiply
    3,716.85x = 5,129.26 × 2,038.27
  4. Step 4: Simplify right side
    3,716.85x = 10,454,795.18
  5. Step 5: Solve for x
    x = 10,454,795.18/3,716.85
  6. Step 6: Final answer
    x = 2,812.81

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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.