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Finding the Fourth Proportional to 3,716.68, 5,128.90 and 2,038.12

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Solution

The fourth proportional to 3,716.68, 5,128.90 and 2,038.12 is: 2,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.68 : 5,128.90 = 2,038.12 : x
  2. Step 2: Convert to fraction form
    3,716.68/5,128.90 = 2,038.12/x
  3. Step 3: Cross multiply
    3,716.68x = 5,128.90 × 2,038.12
  4. Step 4: Simplify right side
    3,716.68x = 10,453,313.67
  5. Step 5: Solve for x
    x = 10,453,313.67/3,716.68
  6. Step 6: Final answer
    x = 2,812.54

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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.