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Finding the Fourth Proportional to 8,897.92, 13,346.76 and 3,631.77

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Solution

The fourth proportional to 8,897.92, 13,346.76 and 3,631.77 is: 5,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897.92 : 13,346.76 = 3,631.77 : x
  2. Step 2: Convert to fraction form
    8,897.92/13,346.76 = 3,631.77/x
  3. Step 3: Cross multiply
    8,897.92x = 13,346.76 × 3,631.77
  4. Step 4: Simplify right side
    8,897.92x = 48,472,426.23
  5. Step 5: Solve for x
    x = 48,472,426.23/8,897.92
  6. Step 6: Final answer
    x = 5,447.61

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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.