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Finding the Fourth Proportional to 5,278.35, 7,883.82 and 4,777.26

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Solution

The fourth proportional to 5,278.35, 7,883.82 and 4,777.26 is: 7,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.35 : 7,883.82 = 4,777.26 : x
  2. Step 2: Convert to fraction form
    5,278.35/7,883.82 = 4,777.26/x
  3. Step 3: Cross multiply
    5,278.35x = 7,883.82 × 4,777.26
  4. Step 4: Simplify right side
    5,278.35x = 37,663,057.93
  5. Step 5: Solve for x
    x = 37,663,057.93/5,278.35
  6. Step 6: Final answer
    x = 7,135.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.