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Finding the Fourth Proportional to 3,783.38, 5,670.14 and 1,932.93

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Solution

The fourth proportional to 3,783.38, 5,670.14 and 1,932.93 is: 2,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.38 : 5,670.14 = 1,932.93 : x
  2. Step 2: Convert to fraction form
    3,783.38/5,670.14 = 1,932.93/x
  3. Step 3: Cross multiply
    3,783.38x = 5,670.14 × 1,932.93
  4. Step 4: Simplify right side
    3,783.38x = 10,959,983.71
  5. Step 5: Solve for x
    x = 10,959,983.71/3,783.38
  6. Step 6: Final answer
    x = 2,896.88

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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.