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Finding the Fourth Proportional to 4,151.88, 5,729.58 and 2,659.32

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Solution

The fourth proportional to 4,151.88, 5,729.58 and 2,659.32 is: 3,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.88 : 5,729.58 = 2,659.32 : x
  2. Step 2: Convert to fraction form
    4,151.88/5,729.58 = 2,659.32/x
  3. Step 3: Cross multiply
    4,151.88x = 5,729.58 × 2,659.32
  4. Step 4: Simplify right side
    4,151.88x = 15,236,786.69
  5. Step 5: Solve for x
    x = 15,236,786.69/4,151.88
  6. Step 6: Final answer
    x = 3,669.85

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