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Finding the Fourth Proportional to 3,964.77, 5,947.16 and 1,774.53

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Solution

The fourth proportional to 3,964.77, 5,947.16 and 1,774.53 is: 2,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.77 : 5,947.16 = 1,774.53 : x
  2. Step 2: Convert to fraction form
    3,964.77/5,947.16 = 1,774.53/x
  3. Step 3: Cross multiply
    3,964.77x = 5,947.16 × 1,774.53
  4. Step 4: Simplify right side
    3,964.77x = 10,553,404.96
  5. Step 5: Solve for x
    x = 10,553,404.96/3,964.77
  6. Step 6: Final answer
    x = 2,661.80

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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.