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Finding the Fourth Proportional to 5,131.80, 7,700.13 and 2,942.37

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Solution

The fourth proportional to 5,131.80, 7,700.13 and 2,942.37 is: 4,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.80 : 7,700.13 = 2,942.37 : x
  2. Step 2: Convert to fraction form
    5,131.80/7,700.13 = 2,942.37/x
  3. Step 3: Cross multiply
    5,131.80x = 7,700.13 × 2,942.37
  4. Step 4: Simplify right side
    5,131.80x = 22,656,631.51
  5. Step 5: Solve for x
    x = 22,656,631.51/5,131.80
  6. Step 6: Final answer
    x = 4,414.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.