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Finding the Fourth Proportional to 4,669.97, 7,006.06 and 1,591.97

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Solution

The fourth proportional to 4,669.97, 7,006.06 and 1,591.97 is: 2,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.97 : 7,006.06 = 1,591.97 : x
  2. Step 2: Convert to fraction form
    4,669.97/7,006.06 = 1,591.97/x
  3. Step 3: Cross multiply
    4,669.97x = 7,006.06 × 1,591.97
  4. Step 4: Simplify right side
    4,669.97x = 11,153,433.56
  5. Step 5: Solve for x
    x = 11,153,433.56/4,669.97
  6. Step 6: Final answer
    x = 2,388.33

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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.