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Finding the Fourth Proportional to 5,602.71, 7,729.81 and 3,179.80

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Solution

The fourth proportional to 5,602.71, 7,729.81 and 3,179.80 is: 4,387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.71 : 7,729.81 = 3,179.80 : x
  2. Step 2: Convert to fraction form
    5,602.71/7,729.81 = 3,179.80/x
  3. Step 3: Cross multiply
    5,602.71x = 7,729.81 × 3,179.80
  4. Step 4: Simplify right side
    5,602.71x = 24,579,249.84
  5. Step 5: Solve for x
    x = 24,579,249.84/5,602.71
  6. Step 6: Final answer
    x = 4,387.03

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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.