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Finding the Fourth Proportional to 5,967.56, 8,953.86 and 3,193.50

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Solution

The fourth proportional to 5,967.56, 8,953.86 and 3,193.50 is: 4,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.56 : 8,953.86 = 3,193.50 : x
  2. Step 2: Convert to fraction form
    5,967.56/8,953.86 = 3,193.50/x
  3. Step 3: Cross multiply
    5,967.56x = 8,953.86 × 3,193.50
  4. Step 4: Simplify right side
    5,967.56x = 28,594,151.91
  5. Step 5: Solve for x
    x = 28,594,151.91/5,967.56
  6. Step 6: Final answer
    x = 4,791.60

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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.