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Finding the Fourth Proportional to 3,807.14, 5,710.80 and 1,959.80

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Solution

The fourth proportional to 3,807.14, 5,710.80 and 1,959.80 is: 2,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.14 : 5,710.80 = 1,959.80 : x
  2. Step 2: Convert to fraction form
    3,807.14/5,710.80 = 1,959.80/x
  3. Step 3: Cross multiply
    3,807.14x = 5,710.80 × 1,959.80
  4. Step 4: Simplify right side
    3,807.14x = 11,192,025.84
  5. Step 5: Solve for x
    x = 11,192,025.84/3,807.14
  6. Step 6: Final answer
    x = 2,939.75

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Why These Related Problems?

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