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Finding the Fourth Proportional to 4,932.30, 6,806.64 and 3,166.92

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Solution

The fourth proportional to 4,932.30, 6,806.64 and 3,166.92 is: 4,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.30 : 6,806.64 = 3,166.92 : x
  2. Step 2: Convert to fraction form
    4,932.30/6,806.64 = 3,166.92/x
  3. Step 3: Cross multiply
    4,932.30x = 6,806.64 × 3,166.92
  4. Step 4: Simplify right side
    4,932.30x = 21,556,084.35
  5. Step 5: Solve for x
    x = 21,556,084.35/4,932.30
  6. Step 6: Final answer
    x = 4,370.39

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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.