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Finding the Fourth Proportional to 4,533, 6,255.52 and 2,644.66

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Solution

The fourth proportional to 4,533, 6,255.52 and 2,644.66 is: 3,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533 : 6,255.52 = 2,644.66 : x
  2. Step 2: Convert to fraction form
    4,533/6,255.52 = 2,644.66/x
  3. Step 3: Cross multiply
    4,533x = 6,255.52 × 2,644.66
  4. Step 4: Simplify right side
    4,533x = 16,543,723.52
  5. Step 5: Solve for x
    x = 16,543,723.52/4,533
  6. Step 6: Final answer
    x = 3,649.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.