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Finding the Fourth Proportional to 5,207.65, 7,181.30 and 3,934.66

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Solution

The fourth proportional to 5,207.65, 7,181.30 and 3,934.66 is: 5,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.65 : 7,181.30 = 3,934.66 : x
  2. Step 2: Convert to fraction form
    5,207.65/7,181.30 = 3,934.66/x
  3. Step 3: Cross multiply
    5,207.65x = 7,181.30 × 3,934.66
  4. Step 4: Simplify right side
    5,207.65x = 28,255,979.21
  5. Step 5: Solve for x
    x = 28,255,979.21/5,207.65
  6. Step 6: Final answer
    x = 5,425.86

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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.