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Finding the Fourth Proportional to 5,201.81, 7,178.99 and 2,844.30

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Solution

The fourth proportional to 5,201.81, 7,178.99 and 2,844.30 is: 3,925.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.81 : 7,178.99 = 2,844.30 : x
  2. Step 2: Convert to fraction form
    5,201.81/7,178.99 = 2,844.30/x
  3. Step 3: Cross multiply
    5,201.81x = 7,178.99 × 2,844.30
  4. Step 4: Simplify right side
    5,201.81x = 20,419,187.04
  5. Step 5: Solve for x
    x = 20,419,187.04/5,201.81
  6. Step 6: Final answer
    x = 3,925.40

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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.