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Finding the Fourth Proportional to 3,779.57, 5,215.83 and 2,101.14

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Solution

The fourth proportional to 3,779.57, 5,215.83 and 2,101.14 is: 2,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.57 : 5,215.83 = 2,101.14 : x
  2. Step 2: Convert to fraction form
    3,779.57/5,215.83 = 2,101.14/x
  3. Step 3: Cross multiply
    3,779.57x = 5,215.83 × 2,101.14
  4. Step 4: Simplify right side
    3,779.57x = 10,959,162.97
  5. Step 5: Solve for x
    x = 10,959,162.97/3,779.57
  6. Step 6: Final answer
    x = 2,899.58

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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.