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Finding the Fourth Proportional to 5,635.98, 7,778.10 and 3,278.58

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Solution

The fourth proportional to 5,635.98, 7,778.10 and 3,278.58 is: 4,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.98 : 7,778.10 = 3,278.58 : x
  2. Step 2: Convert to fraction form
    5,635.98/7,778.10 = 3,278.58/x
  3. Step 3: Cross multiply
    5,635.98x = 7,778.10 × 3,278.58
  4. Step 4: Simplify right side
    5,635.98x = 25,501,123.10
  5. Step 5: Solve for x
    x = 25,501,123.10/5,635.98
  6. Step 6: Final answer
    x = 4,524.70

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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.