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Finding the Fourth Proportional to 5,298.62, 7,942.77 and 2,524.55

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Solution

The fourth proportional to 5,298.62, 7,942.77 and 2,524.55 is: 3,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.62 : 7,942.77 = 2,524.55 : x
  2. Step 2: Convert to fraction form
    5,298.62/7,942.77 = 2,524.55/x
  3. Step 3: Cross multiply
    5,298.62x = 7,942.77 × 2,524.55
  4. Step 4: Simplify right side
    5,298.62x = 20,051,920.00
  5. Step 5: Solve for x
    x = 20,051,920.00/5,298.62
  6. Step 6: Final answer
    x = 3,784.37

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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.