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Finding the Fourth Proportional to 5,197.34, 7,800.16 and 2,733.62

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Solution

The fourth proportional to 5,197.34, 7,800.16 and 2,733.62 is: 4,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.34 : 7,800.16 = 2,733.62 : x
  2. Step 2: Convert to fraction form
    5,197.34/7,800.16 = 2,733.62/x
  3. Step 3: Cross multiply
    5,197.34x = 7,800.16 × 2,733.62
  4. Step 4: Simplify right side
    5,197.34x = 21,322,673.38
  5. Step 5: Solve for x
    x = 21,322,673.38/5,197.34
  6. Step 6: Final answer
    x = 4,102.61

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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.