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Finding the Fourth Proportional to 4,819.60, 6,649.49 and 2,830.65

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Solution

The fourth proportional to 4,819.60, 6,649.49 and 2,830.65 is: 3,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.60 : 6,649.49 = 2,830.65 : x
  2. Step 2: Convert to fraction form
    4,819.60/6,649.49 = 2,830.65/x
  3. Step 3: Cross multiply
    4,819.60x = 6,649.49 × 2,830.65
  4. Step 4: Simplify right side
    4,819.60x = 18,822,378.87
  5. Step 5: Solve for x
    x = 18,822,378.87/4,819.60
  6. Step 6: Final answer
    x = 3,905.38

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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.