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Finding the Fourth Proportional to 5,758.72, 7,927.82 and 5,494.22

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Solution

The fourth proportional to 5,758.72, 7,927.82 and 5,494.22 is: 7,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.72 : 7,927.82 = 5,494.22 : x
  2. Step 2: Convert to fraction form
    5,758.72/7,927.82 = 5,494.22/x
  3. Step 3: Cross multiply
    5,758.72x = 7,927.82 × 5,494.22
  4. Step 4: Simplify right side
    5,758.72x = 43,557,187.20
  5. Step 5: Solve for x
    x = 43,557,187.20/5,758.72
  6. Step 6: Final answer
    x = 7,563.69

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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.