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Finding the Fourth Proportional to 3,335.66, 5,001.84 and 1,949.30

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Solution

The fourth proportional to 3,335.66, 5,001.84 and 1,949.30 is: 2,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.66 : 5,001.84 = 1,949.30 : x
  2. Step 2: Convert to fraction form
    3,335.66/5,001.84 = 1,949.30/x
  3. Step 3: Cross multiply
    3,335.66x = 5,001.84 × 1,949.30
  4. Step 4: Simplify right side
    3,335.66x = 9,750,086.71
  5. Step 5: Solve for x
    x = 9,750,086.71/3,335.66
  6. Step 6: Final answer
    x = 2,922.99

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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.