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Finding the Fourth Proportional to 4,044.70, 6,065.82 and 1,578.91

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Solution

The fourth proportional to 4,044.70, 6,065.82 and 1,578.91 is: 2,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044.70 : 6,065.82 = 1,578.91 : x
  2. Step 2: Convert to fraction form
    4,044.70/6,065.82 = 1,578.91/x
  3. Step 3: Cross multiply
    4,044.70x = 6,065.82 × 1,578.91
  4. Step 4: Simplify right side
    4,044.70x = 9,577,383.86
  5. Step 5: Solve for x
    x = 9,577,383.86/4,044.70
  6. Step 6: Final answer
    x = 2,367.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.