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Finding the Fourth Proportional to 5,906.50, 8,858.84 and 1,959.47

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Solution

The fourth proportional to 5,906.50, 8,858.84 and 1,959.47 is: 2,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.50 : 8,858.84 = 1,959.47 : x
  2. Step 2: Convert to fraction form
    5,906.50/8,858.84 = 1,959.47/x
  3. Step 3: Cross multiply
    5,906.50x = 8,858.84 × 1,959.47
  4. Step 4: Simplify right side
    5,906.50x = 17,358,648.46
  5. Step 5: Solve for x
    x = 17,358,648.46/5,906.50
  6. Step 6: Final answer
    x = 2,938.91

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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.