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Finding the Fourth Proportional to 5,636.62, 7,777.98 and 3,278.92

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Solution

The fourth proportional to 5,636.62, 7,777.98 and 3,278.92 is: 4,524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.62 : 7,777.98 = 3,278.92 : x
  2. Step 2: Convert to fraction form
    5,636.62/7,777.98 = 3,278.92/x
  3. Step 3: Cross multiply
    5,636.62x = 7,777.98 × 3,278.92
  4. Step 4: Simplify right side
    5,636.62x = 25,503,374.18
  5. Step 5: Solve for x
    x = 25,503,374.18/5,636.62
  6. Step 6: Final answer
    x = 4,524.59

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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.