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Finding the Fourth Proportional to 7,175.88, 10,758.84 and 3,659.06

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Solution

The fourth proportional to 7,175.88, 10,758.84 and 3,659.06 is: 5,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.88 : 10,758.84 = 3,659.06 : x
  2. Step 2: Convert to fraction form
    7,175.88/10,758.84 = 3,659.06/x
  3. Step 3: Cross multiply
    7,175.88x = 10,758.84 × 3,659.06
  4. Step 4: Simplify right side
    7,175.88x = 39,367,187.30
  5. Step 5: Solve for x
    x = 39,367,187.30/7,175.88
  6. Step 6: Final answer
    x = 5,486.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.