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Finding the Fourth Proportional to 5,967.96, 8,957.42 and 3,197.76

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Solution

The fourth proportional to 5,967.96, 8,957.42 and 3,197.76 is: 4,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.96 : 8,957.42 = 3,197.76 : x
  2. Step 2: Convert to fraction form
    5,967.96/8,957.42 = 3,197.76/x
  3. Step 3: Cross multiply
    5,967.96x = 8,957.42 × 3,197.76
  4. Step 4: Simplify right side
    5,967.96x = 28,643,663.39
  5. Step 5: Solve for x
    x = 28,643,663.39/5,967.96
  6. Step 6: Final answer
    x = 4,799.57

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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.