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Finding the Fourth Proportional to 3,866.42, 5,798.43 and 2,016.56

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Solution

The fourth proportional to 3,866.42, 5,798.43 and 2,016.56 is: 3,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.42 : 5,798.43 = 2,016.56 : x
  2. Step 2: Convert to fraction form
    3,866.42/5,798.43 = 2,016.56/x
  3. Step 3: Cross multiply
    3,866.42x = 5,798.43 × 2,016.56
  4. Step 4: Simplify right side
    3,866.42x = 11,692,882.00
  5. Step 5: Solve for x
    x = 11,692,882.00/3,866.42
  6. Step 6: Final answer
    x = 3,024.21

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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.