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Finding the Fourth Proportional to 5,309.44, 7,328 and 3,981.12

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Solution

The fourth proportional to 5,309.44, 7,328 and 3,981.12 is: 5,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.44 : 7,328 = 3,981.12 : x
  2. Step 2: Convert to fraction form
    5,309.44/7,328 = 3,981.12/x
  3. Step 3: Cross multiply
    5,309.44x = 7,328 × 3,981.12
  4. Step 4: Simplify right side
    5,309.44x = 29,173,647.36
  5. Step 5: Solve for x
    x = 29,173,647.36/5,309.44
  6. Step 6: Final answer
    x = 5,494.68

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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.