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Finding the Fourth Proportional to 5,948.71, 8,209.21 and 3,259.99

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Solution

The fourth proportional to 5,948.71, 8,209.21 and 3,259.99 is: 4,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.71 : 8,209.21 = 3,259.99 : x
  2. Step 2: Convert to fraction form
    5,948.71/8,209.21 = 3,259.99/x
  3. Step 3: Cross multiply
    5,948.71x = 8,209.21 × 3,259.99
  4. Step 4: Simplify right side
    5,948.71x = 26,761,905.68
  5. Step 5: Solve for x
    x = 26,761,905.68/5,948.71
  6. Step 6: Final answer
    x = 4,498.78

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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.