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Finding the Fourth Proportional to 3,833.61, 5,744.03 and 2,908.08

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Solution

The fourth proportional to 3,833.61, 5,744.03 and 2,908.08 is: 4,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.61 : 5,744.03 = 2,908.08 : x
  2. Step 2: Convert to fraction form
    3,833.61/5,744.03 = 2,908.08/x
  3. Step 3: Cross multiply
    3,833.61x = 5,744.03 × 2,908.08
  4. Step 4: Simplify right side
    3,833.61x = 16,704,098.76
  5. Step 5: Solve for x
    x = 16,704,098.76/3,833.61
  6. Step 6: Final answer
    x = 4,357.28

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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.