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Finding the Fourth Proportional to 4,461.83, 6,695.17 and 2,819.15

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Solution

The fourth proportional to 4,461.83, 6,695.17 and 2,819.15 is: 4,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.83 : 6,695.17 = 2,819.15 : x
  2. Step 2: Convert to fraction form
    4,461.83/6,695.17 = 2,819.15/x
  3. Step 3: Cross multiply
    4,461.83x = 6,695.17 × 2,819.15
  4. Step 4: Simplify right side
    4,461.83x = 18,874,647.98
  5. Step 5: Solve for x
    x = 18,874,647.98/4,461.83
  6. Step 6: Final answer
    x = 4,230.25

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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.