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Finding the Fourth Proportional to 5,768.52, 7,958.34 and 3,643.44

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Solution

The fourth proportional to 5,768.52, 7,958.34 and 3,643.44 is: 5,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.52 : 7,958.34 = 3,643.44 : x
  2. Step 2: Convert to fraction form
    5,768.52/7,958.34 = 3,643.44/x
  3. Step 3: Cross multiply
    5,768.52x = 7,958.34 × 3,643.44
  4. Step 4: Simplify right side
    5,768.52x = 28,995,734.29
  5. Step 5: Solve for x
    x = 28,995,734.29/5,768.52
  6. Step 6: Final answer
    x = 5,026.55

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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.