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Finding the Fourth Proportional to 4,044.66, 6,061.86 and 1,821.12

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Solution

The fourth proportional to 4,044.66, 6,061.86 and 1,821.12 is: 2,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044.66 : 6,061.86 = 1,821.12 : x
  2. Step 2: Convert to fraction form
    4,044.66/6,061.86 = 1,821.12/x
  3. Step 3: Cross multiply
    4,044.66x = 6,061.86 × 1,821.12
  4. Step 4: Simplify right side
    4,044.66x = 11,039,374.48
  5. Step 5: Solve for x
    x = 11,039,374.48/4,044.66
  6. Step 6: Final answer
    x = 2,729.37

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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.