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Finding the Fourth Proportional to 5,666.83, 7,819.77 and 3,276.96

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Solution

The fourth proportional to 5,666.83, 7,819.77 and 3,276.96 is: 4,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.83 : 7,819.77 = 3,276.96 : x
  2. Step 2: Convert to fraction form
    5,666.83/7,819.77 = 3,276.96/x
  3. Step 3: Cross multiply
    5,666.83x = 7,819.77 × 3,276.96
  4. Step 4: Simplify right side
    5,666.83x = 25,625,044.18
  5. Step 5: Solve for x
    x = 25,625,044.18/5,666.83
  6. Step 6: Final answer
    x = 4,521.94

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Why These Related Problems?

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