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Finding the Fourth Proportional to 5,972.69, 8,954.24 and 3,009.51

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Solution

The fourth proportional to 5,972.69, 8,954.24 and 3,009.51 is: 4,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.69 : 8,954.24 = 3,009.51 : x
  2. Step 2: Convert to fraction form
    5,972.69/8,954.24 = 3,009.51/x
  3. Step 3: Cross multiply
    5,972.69x = 8,954.24 × 3,009.51
  4. Step 4: Simplify right side
    5,972.69x = 26,947,859.77
  5. Step 5: Solve for x
    x = 26,947,859.77/5,972.69
  6. Step 6: Final answer
    x = 4,511.85

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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.