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Finding the Fourth Proportional to 4,046.82, 6,070.11 and 3,806.34

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Solution

The fourth proportional to 4,046.82, 6,070.11 and 3,806.34 is: 5,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.82 : 6,070.11 = 3,806.34 : x
  2. Step 2: Convert to fraction form
    4,046.82/6,070.11 = 3,806.34/x
  3. Step 3: Cross multiply
    4,046.82x = 6,070.11 × 3,806.34
  4. Step 4: Simplify right side
    4,046.82x = 23,104,902.50
  5. Step 5: Solve for x
    x = 23,104,902.50/4,046.82
  6. Step 6: Final answer
    x = 5,709.40

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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.