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Finding the Fourth Proportional to 3,779.78, 5,216.15 and 2,101.29

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Solution

The fourth proportional to 3,779.78, 5,216.15 and 2,101.29 is: 2,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.78 : 5,216.15 = 2,101.29 : x
  2. Step 2: Convert to fraction form
    3,779.78/5,216.15 = 2,101.29/x
  3. Step 3: Cross multiply
    3,779.78x = 5,216.15 × 2,101.29
  4. Step 4: Simplify right side
    3,779.78x = 10,960,633.33
  5. Step 5: Solve for x
    x = 10,960,633.33/3,779.78
  6. Step 6: Final answer
    x = 2,899.81

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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.