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Finding the Fourth Proportional to 3,779.60, 5,215.82 and 2,101.16

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Solution

The fourth proportional to 3,779.60, 5,215.82 and 2,101.16 is: 2,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.60 : 5,215.82 = 2,101.16 : x
  2. Step 2: Convert to fraction form
    3,779.60/5,215.82 = 2,101.16/x
  3. Step 3: Cross multiply
    3,779.60x = 5,215.82 × 2,101.16
  4. Step 4: Simplify right side
    3,779.60x = 10,959,272.35
  5. Step 5: Solve for x
    x = 10,959,272.35/3,779.60
  6. Step 6: Final answer
    x = 2,899.59

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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.