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Finding the Fourth Proportional to 6,894.59, 10,344.92 and 3,610.04

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Solution

The fourth proportional to 6,894.59, 10,344.92 and 3,610.04 is: 5,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.59 : 10,344.92 = 3,610.04 : x
  2. Step 2: Convert to fraction form
    6,894.59/10,344.92 = 3,610.04/x
  3. Step 3: Cross multiply
    6,894.59x = 10,344.92 × 3,610.04
  4. Step 4: Simplify right side
    6,894.59x = 37,345,505.22
  5. Step 5: Solve for x
    x = 37,345,505.22/6,894.59
  6. Step 6: Final answer
    x = 5,416.64

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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.