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Finding the Fourth Proportional to 4,859.70, 6,706.08 and 2,734.86

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Solution

The fourth proportional to 4,859.70, 6,706.08 and 2,734.86 is: 3,773.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.70 : 6,706.08 = 2,734.86 : x
  2. Step 2: Convert to fraction form
    4,859.70/6,706.08 = 2,734.86/x
  3. Step 3: Cross multiply
    4,859.70x = 6,706.08 × 2,734.86
  4. Step 4: Simplify right side
    4,859.70x = 18,340,189.95
  5. Step 5: Solve for x
    x = 18,340,189.95/4,859.70
  6. Step 6: Final answer
    x = 3,773.93

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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.