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Finding the Fourth Proportional to 5,729.66, 7,906.44 and 3,177.50

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Solution

The fourth proportional to 5,729.66, 7,906.44 and 3,177.50 is: 4,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.66 : 7,906.44 = 3,177.50 : x
  2. Step 2: Convert to fraction form
    5,729.66/7,906.44 = 3,177.50/x
  3. Step 3: Cross multiply
    5,729.66x = 7,906.44 × 3,177.50
  4. Step 4: Simplify right side
    5,729.66x = 25,122,713.10
  5. Step 5: Solve for x
    x = 25,122,713.10/5,729.66
  6. Step 6: Final answer
    x = 4,384.68

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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.