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Finding the Fourth Proportional to 5,729.29, 7,906.01 and 3,177.02

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Solution

The fourth proportional to 5,729.29, 7,906.01 and 3,177.02 is: 4,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.29 : 7,906.01 = 3,177.02 : x
  2. Step 2: Convert to fraction form
    5,729.29/7,906.01 = 3,177.02/x
  3. Step 3: Cross multiply
    5,729.29x = 7,906.01 × 3,177.02
  4. Step 4: Simplify right side
    5,729.29x = 25,117,551.89
  5. Step 5: Solve for x
    x = 25,117,551.89/5,729.29
  6. Step 6: Final answer
    x = 4,384.06

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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.