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Finding the Fourth Proportional to 5,451.44, 7,524.34 and 3,095

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Solution

The fourth proportional to 5,451.44, 7,524.34 and 3,095 is: 4,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.44 : 7,524.34 = 3,095 : x
  2. Step 2: Convert to fraction form
    5,451.44/7,524.34 = 3,095/x
  3. Step 3: Cross multiply
    5,451.44x = 7,524.34 × 3,095
  4. Step 4: Simplify right side
    5,451.44x = 23,287,832.30
  5. Step 5: Solve for x
    x = 23,287,832.30/5,451.44
  6. Step 6: Final answer
    x = 4,271.87

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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.