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Finding the Fourth Proportional to 5,973.85, 8,953.34 and 3,193.66

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Solution

The fourth proportional to 5,973.85, 8,953.34 and 3,193.66 is: 4,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.85 : 8,953.34 = 3,193.66 : x
  2. Step 2: Convert to fraction form
    5,973.85/8,953.34 = 3,193.66/x
  3. Step 3: Cross multiply
    5,973.85x = 8,953.34 × 3,193.66
  4. Step 4: Simplify right side
    5,973.85x = 28,593,923.82
  5. Step 5: Solve for x
    x = 28,593,923.82/5,973.85
  6. Step 6: Final answer
    x = 4,786.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.