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Finding the Fourth Proportional to 8,905.86, 13,353.86 and 3,644.57

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Solution

The fourth proportional to 8,905.86, 13,353.86 and 3,644.57 is: 5,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905.86 : 13,353.86 = 3,644.57 : x
  2. Step 2: Convert to fraction form
    8,905.86/13,353.86 = 3,644.57/x
  3. Step 3: Cross multiply
    8,905.86x = 13,353.86 × 3,644.57
  4. Step 4: Simplify right side
    8,905.86x = 48,668,992.55
  5. Step 5: Solve for x
    x = 48,668,992.55/8,905.86
  6. Step 6: Final answer
    x = 5,464.83

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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.