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Finding the Fourth Proportional to 5,779.44, 7,973.01 and 3,682.26

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Solution

The fourth proportional to 5,779.44, 7,973.01 and 3,682.26 is: 5,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.44 : 7,973.01 = 3,682.26 : x
  2. Step 2: Convert to fraction form
    5,779.44/7,973.01 = 3,682.26/x
  3. Step 3: Cross multiply
    5,779.44x = 7,973.01 × 3,682.26
  4. Step 4: Simplify right side
    5,779.44x = 29,358,695.80
  5. Step 5: Solve for x
    x = 29,358,695.80/5,779.44
  6. Step 6: Final answer
    x = 5,079.85

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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.