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Finding the Fourth Proportional to 3,833.91, 5,752.69 and 1,984.68

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Solution

The fourth proportional to 3,833.91, 5,752.69 and 1,984.68 is: 2,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.91 : 5,752.69 = 1,984.68 : x
  2. Step 2: Convert to fraction form
    3,833.91/5,752.69 = 1,984.68/x
  3. Step 3: Cross multiply
    3,833.91x = 5,752.69 × 1,984.68
  4. Step 4: Simplify right side
    3,833.91x = 11,417,243.83
  5. Step 5: Solve for x
    x = 11,417,243.83/3,833.91
  6. Step 6: Final answer
    x = 2,977.96

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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.