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Finding the Fourth Proportional to 5,207.38, 7,820.30 and 4,992.12

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Solution

The fourth proportional to 5,207.38, 7,820.30 and 4,992.12 is: 7,497.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.38 : 7,820.30 = 4,992.12 : x
  2. Step 2: Convert to fraction form
    5,207.38/7,820.30 = 4,992.12/x
  3. Step 3: Cross multiply
    5,207.38x = 7,820.30 × 4,992.12
  4. Step 4: Simplify right side
    5,207.38x = 39,039,876.04
  5. Step 5: Solve for x
    x = 39,039,876.04/5,207.38
  6. Step 6: Final answer
    x = 7,497.03

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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.