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Finding the Fourth Proportional to 4,859, 6,706.34 and 3,092.66

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Solution

The fourth proportional to 4,859, 6,706.34 and 3,092.66 is: 4,268.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859 : 6,706.34 = 3,092.66 : x
  2. Step 2: Convert to fraction form
    4,859/6,706.34 = 3,092.66/x
  3. Step 3: Cross multiply
    4,859x = 6,706.34 × 3,092.66
  4. Step 4: Simplify right side
    4,859x = 20,740,429.46
  5. Step 5: Solve for x
    x = 20,740,429.46/4,859
  6. Step 6: Final answer
    x = 4,268.46

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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.