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Finding the Fourth Proportional to 3,779.75, 5,215.80 and 2,101.05

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Solution

The fourth proportional to 3,779.75, 5,215.80 and 2,101.05 is: 2,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.75 : 5,215.80 = 2,101.05 : x
  2. Step 2: Convert to fraction form
    3,779.75/5,215.80 = 2,101.05/x
  3. Step 3: Cross multiply
    3,779.75x = 5,215.80 × 2,101.05
  4. Step 4: Simplify right side
    3,779.75x = 10,958,656.59
  5. Step 5: Solve for x
    x = 10,958,656.59/3,779.75
  6. Step 6: Final answer
    x = 2,899.31

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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.