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Finding the Fourth Proportional to 5,278.82, 7,278.81 and 3,948.26

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Solution

The fourth proportional to 5,278.82, 7,278.81 and 3,948.26 is: 5,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.82 : 7,278.81 = 3,948.26 : x
  2. Step 2: Convert to fraction form
    5,278.82/7,278.81 = 3,948.26/x
  3. Step 3: Cross multiply
    5,278.82x = 7,278.81 × 3,948.26
  4. Step 4: Simplify right side
    5,278.82x = 28,738,634.37
  5. Step 5: Solve for x
    x = 28,738,634.37/5,278.82
  6. Step 6: Final answer
    x = 5,444.14

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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.