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Finding the Fourth Proportional to 5,141.20, 7,705.77 and 4,523.62

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Solution

The fourth proportional to 5,141.20, 7,705.77 and 4,523.62 is: 6,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.20 : 7,705.77 = 4,523.62 : x
  2. Step 2: Convert to fraction form
    5,141.20/7,705.77 = 4,523.62/x
  3. Step 3: Cross multiply
    5,141.20x = 7,705.77 × 4,523.62
  4. Step 4: Simplify right side
    5,141.20x = 34,857,975.29
  5. Step 5: Solve for x
    x = 34,857,975.29/5,141.20
  6. Step 6: Final answer
    x = 6,780.12

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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.