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Finding the Fourth Proportional to 5,954, 8,217.24 and 3,470

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Solution

The fourth proportional to 5,954, 8,217.24 and 3,470 is: 4,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954 : 8,217.24 = 3,470 : x
  2. Step 2: Convert to fraction form
    5,954/8,217.24 = 3,470/x
  3. Step 3: Cross multiply
    5,954x = 8,217.24 × 3,470
  4. Step 4: Simplify right side
    5,954x = 28,513,822.80
  5. Step 5: Solve for x
    x = 28,513,822.80/5,954
  6. Step 6: Final answer
    x = 4,789.02

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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.