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Finding the Fourth Proportional to 3,779.86, 5,216.22 and 2,101.26

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Solution

The fourth proportional to 3,779.86, 5,216.22 and 2,101.26 is: 2,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.86 : 5,216.22 = 2,101.26 : x
  2. Step 2: Convert to fraction form
    3,779.86/5,216.22 = 2,101.26/x
  3. Step 3: Cross multiply
    3,779.86x = 5,216.22 × 2,101.26
  4. Step 4: Simplify right side
    3,779.86x = 10,960,634.44
  5. Step 5: Solve for x
    x = 10,960,634.44/3,779.86
  6. Step 6: Final answer
    x = 2,899.75

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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.