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Finding the Fourth Proportional to 6,301.86, 8,696.79 and 3,784.38

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Solution

The fourth proportional to 6,301.86, 8,696.79 and 3,784.38 is: 5,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.86 : 8,696.79 = 3,784.38 : x
  2. Step 2: Convert to fraction form
    6,301.86/8,696.79 = 3,784.38/x
  3. Step 3: Cross multiply
    6,301.86x = 8,696.79 × 3,784.38
  4. Step 4: Simplify right side
    6,301.86x = 32,911,958.14
  5. Step 5: Solve for x
    x = 32,911,958.14/6,301.86
  6. Step 6: Final answer
    x = 5,222.58

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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.