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Finding the Fourth Proportional to 3,917.68, 5,875.72 and 1,837.14

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Solution

The fourth proportional to 3,917.68, 5,875.72 and 1,837.14 is: 2,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.68 : 5,875.72 = 1,837.14 : x
  2. Step 2: Convert to fraction form
    3,917.68/5,875.72 = 1,837.14/x
  3. Step 3: Cross multiply
    3,917.68x = 5,875.72 × 1,837.14
  4. Step 4: Simplify right side
    3,917.68x = 10,794,520.24
  5. Step 5: Solve for x
    x = 10,794,520.24/3,917.68
  6. Step 6: Final answer
    x = 2,755.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.