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Finding the Fourth Proportional to 5,948.74, 8,208.94 and 3,295.99

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Solution

The fourth proportional to 5,948.74, 8,208.94 and 3,295.99 is: 4,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.74 : 8,208.94 = 3,295.99 : x
  2. Step 2: Convert to fraction form
    5,948.74/8,208.94 = 3,295.99/x
  3. Step 3: Cross multiply
    5,948.74x = 8,208.94 × 3,295.99
  4. Step 4: Simplify right side
    5,948.74x = 27,056,584.15
  5. Step 5: Solve for x
    x = 27,056,584.15/5,948.74
  6. Step 6: Final answer
    x = 4,548.29

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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.