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Finding the Fourth Proportional to 5,991.70, 8,977.71 and 3,644.62

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Solution

The fourth proportional to 5,991.70, 8,977.71 and 3,644.62 is: 5,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991.70 : 8,977.71 = 3,644.62 : x
  2. Step 2: Convert to fraction form
    5,991.70/8,977.71 = 3,644.62/x
  3. Step 3: Cross multiply
    5,991.70x = 8,977.71 × 3,644.62
  4. Step 4: Simplify right side
    5,991.70x = 32,720,347.64
  5. Step 5: Solve for x
    x = 32,720,347.64/5,991.70
  6. Step 6: Final answer
    x = 5,460.95

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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.