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Finding the Fourth Proportional to 3,805.83, 5,707.17 and 2,050.38

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Solution

The fourth proportional to 3,805.83, 5,707.17 and 2,050.38 is: 3,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.83 : 5,707.17 = 2,050.38 : x
  2. Step 2: Convert to fraction form
    3,805.83/5,707.17 = 2,050.38/x
  3. Step 3: Cross multiply
    3,805.83x = 5,707.17 × 2,050.38
  4. Step 4: Simplify right side
    3,805.83x = 11,701,867.22
  5. Step 5: Solve for x
    x = 11,701,867.22/3,805.83
  6. Step 6: Final answer
    x = 3,074.72

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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.