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Finding the Fourth Proportional to 5,108.67, 7,653.42 and 4,069.85

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Solution

The fourth proportional to 5,108.67, 7,653.42 and 4,069.85 is: 6,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.67 : 7,653.42 = 4,069.85 : x
  2. Step 2: Convert to fraction form
    5,108.67/7,653.42 = 4,069.85/x
  3. Step 3: Cross multiply
    5,108.67x = 7,653.42 × 4,069.85
  4. Step 4: Simplify right side
    5,108.67x = 31,148,233.12
  5. Step 5: Solve for x
    x = 31,148,233.12/5,108.67
  6. Step 6: Final answer
    x = 6,097.13

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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.