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Finding the Fourth Proportional to 3,679.30, 5,514.15 and 1,704.70

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Solution

The fourth proportional to 3,679.30, 5,514.15 and 1,704.70 is: 2,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.30 : 5,514.15 = 1,704.70 : x
  2. Step 2: Convert to fraction form
    3,679.30/5,514.15 = 1,704.70/x
  3. Step 3: Cross multiply
    3,679.30x = 5,514.15 × 1,704.70
  4. Step 4: Simplify right side
    3,679.30x = 9,399,971.51
  5. Step 5: Solve for x
    x = 9,399,971.51/3,679.30
  6. Step 6: Final answer
    x = 2,554.83

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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.