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Finding the Fourth Proportional to 4,261.13, 6,393 and 2,182.59

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Solution

The fourth proportional to 4,261.13, 6,393 and 2,182.59 is: 3,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261.13 : 6,393 = 2,182.59 : x
  2. Step 2: Convert to fraction form
    4,261.13/6,393 = 2,182.59/x
  3. Step 3: Cross multiply
    4,261.13x = 6,393 × 2,182.59
  4. Step 4: Simplify right side
    4,261.13x = 13,953,297.87
  5. Step 5: Solve for x
    x = 13,953,297.87/4,261.13
  6. Step 6: Final answer
    x = 3,274.56

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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.