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Finding the Fourth Proportional to 5,917.50, 8,166.96 and 3,433.50

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Solution

The fourth proportional to 5,917.50, 8,166.96 and 3,433.50 is: 4,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.50 : 8,166.96 = 3,433.50 : x
  2. Step 2: Convert to fraction form
    5,917.50/8,166.96 = 3,433.50/x
  3. Step 3: Cross multiply
    5,917.50x = 8,166.96 × 3,433.50
  4. Step 4: Simplify right side
    5,917.50x = 28,041,257.16
  5. Step 5: Solve for x
    x = 28,041,257.16/5,917.50
  6. Step 6: Final answer
    x = 4,738.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.