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Finding the Fourth Proportional to 4,954.48, 6,824.78 and 3,773.50

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Solution

The fourth proportional to 4,954.48, 6,824.78 and 3,773.50 is: 5,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.48 : 6,824.78 = 3,773.50 : x
  2. Step 2: Convert to fraction form
    4,954.48/6,824.78 = 3,773.50/x
  3. Step 3: Cross multiply
    4,954.48x = 6,824.78 × 3,773.50
  4. Step 4: Simplify right side
    4,954.48x = 25,753,307.33
  5. Step 5: Solve for x
    x = 25,753,307.33/4,954.48
  6. Step 6: Final answer
    x = 5,197.98

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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.