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Finding the Fourth Proportional to 5,452.86, 8,172.90 and 2,524.98

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Solution

The fourth proportional to 5,452.86, 8,172.90 and 2,524.98 is: 3,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.86 : 8,172.90 = 2,524.98 : x
  2. Step 2: Convert to fraction form
    5,452.86/8,172.90 = 2,524.98/x
  3. Step 3: Cross multiply
    5,452.86x = 8,172.90 × 2,524.98
  4. Step 4: Simplify right side
    5,452.86x = 20,636,409.04
  5. Step 5: Solve for x
    x = 20,636,409.04/5,452.86
  6. Step 6: Final answer
    x = 3,784.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.