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Finding the Fourth Proportional to 3,716.69, 5,129.03 and 2,038.07

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Solution

The fourth proportional to 3,716.69, 5,129.03 and 2,038.07 is: 2,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.69 : 5,129.03 = 2,038.07 : x
  2. Step 2: Convert to fraction form
    3,716.69/5,129.03 = 2,038.07/x
  3. Step 3: Cross multiply
    3,716.69x = 5,129.03 × 2,038.07
  4. Step 4: Simplify right side
    3,716.69x = 10,453,286.34
  5. Step 5: Solve for x
    x = 10,453,286.34/3,716.69
  6. Step 6: Final answer
    x = 2,812.53

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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.