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Finding the Fourth Proportional to 4,066.61, 6,101.83 and 2,819.11

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Solution

The fourth proportional to 4,066.61, 6,101.83 and 2,819.11 is: 4,229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.61 : 6,101.83 = 2,819.11 : x
  2. Step 2: Convert to fraction form
    4,066.61/6,101.83 = 2,819.11/x
  3. Step 3: Cross multiply
    4,066.61x = 6,101.83 × 2,819.11
  4. Step 4: Simplify right side
    4,066.61x = 17,201,746.84
  5. Step 5: Solve for x
    x = 17,201,746.84/4,066.61
  6. Step 6: Final answer
    x = 4,229.99

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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.