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Finding the Fourth Proportional to 3,964, 5,947.44 and 3,644.32

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Solution

The fourth proportional to 3,964, 5,947.44 and 3,644.32 is: 5,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964 : 5,947.44 = 3,644.32 : x
  2. Step 2: Convert to fraction form
    3,964/5,947.44 = 3,644.32/x
  3. Step 3: Cross multiply
    3,964x = 5,947.44 × 3,644.32
  4. Step 4: Simplify right side
    3,964x = 21,674,374.54
  5. Step 5: Solve for x
    x = 21,674,374.54/3,964
  6. Step 6: Final answer
    x = 5,467.80

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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.