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Finding the Fourth Proportional to 4,148.34, 5,721.82 and 2,819.74

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Solution

The fourth proportional to 4,148.34, 5,721.82 and 2,819.74 is: 3,889.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.34 : 5,721.82 = 2,819.74 : x
  2. Step 2: Convert to fraction form
    4,148.34/5,721.82 = 2,819.74/x
  3. Step 3: Cross multiply
    4,148.34x = 5,721.82 × 2,819.74
  4. Step 4: Simplify right side
    4,148.34x = 16,134,044.73
  5. Step 5: Solve for x
    x = 16,134,044.73/4,148.34
  6. Step 6: Final answer
    x = 3,889.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.