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Finding the Fourth Proportional to 3,166.50, 4,743.78 and 2,927.82

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Solution

The fourth proportional to 3,166.50, 4,743.78 and 2,927.82 is: 4,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.50 : 4,743.78 = 2,927.82 : x
  2. Step 2: Convert to fraction form
    3,166.50/4,743.78 = 2,927.82/x
  3. Step 3: Cross multiply
    3,166.50x = 4,743.78 × 2,927.82
  4. Step 4: Simplify right side
    3,166.50x = 13,888,933.96
  5. Step 5: Solve for x
    x = 13,888,933.96/3,166.50
  6. Step 6: Final answer
    x = 4,386.21

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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.