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Finding the Fourth Proportional to 6,485.07, 8,949.42 and 3,833.82

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Solution

The fourth proportional to 6,485.07, 8,949.42 and 3,833.82 is: 5,290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.07 : 8,949.42 = 3,833.82 : x
  2. Step 2: Convert to fraction form
    6,485.07/8,949.42 = 3,833.82/x
  3. Step 3: Cross multiply
    6,485.07x = 8,949.42 × 3,833.82
  4. Step 4: Simplify right side
    6,485.07x = 34,310,465.38
  5. Step 5: Solve for x
    x = 34,310,465.38/6,485.07
  6. Step 6: Final answer
    x = 5,290.69

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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.