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Finding the Fourth Proportional to 5,764.11, 7,954.65 and 3,779.88

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Solution

The fourth proportional to 5,764.11, 7,954.65 and 3,779.88 is: 5,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.11 : 7,954.65 = 3,779.88 : x
  2. Step 2: Convert to fraction form
    5,764.11/7,954.65 = 3,779.88/x
  3. Step 3: Cross multiply
    5,764.11x = 7,954.65 × 3,779.88
  4. Step 4: Simplify right side
    5,764.11x = 30,067,622.44
  5. Step 5: Solve for x
    x = 30,067,622.44/5,764.11
  6. Step 6: Final answer
    x = 5,216.35

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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.