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Finding the Fourth Proportional to 6,514.83, 8,990.52 and 3,530.73

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Solution

The fourth proportional to 6,514.83, 8,990.52 and 3,530.73 is: 4,872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.83 : 8,990.52 = 3,530.73 : x
  2. Step 2: Convert to fraction form
    6,514.83/8,990.52 = 3,530.73/x
  3. Step 3: Cross multiply
    6,514.83x = 8,990.52 × 3,530.73
  4. Step 4: Simplify right side
    6,514.83x = 31,743,098.68
  5. Step 5: Solve for x
    x = 31,743,098.68/6,514.83
  6. Step 6: Final answer
    x = 4,872.44

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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.