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Finding the Fourth Proportional to 6,404.63, 8,838.38 and 3,610.13

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Solution

The fourth proportional to 6,404.63, 8,838.38 and 3,610.13 is: 4,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.63 : 8,838.38 = 3,610.13 : x
  2. Step 2: Convert to fraction form
    6,404.63/8,838.38 = 3,610.13/x
  3. Step 3: Cross multiply
    6,404.63x = 8,838.38 × 3,610.13
  4. Step 4: Simplify right side
    6,404.63x = 31,907,665.62
  5. Step 5: Solve for x
    x = 31,907,665.62/6,404.63
  6. Step 6: Final answer
    x = 4,981.97

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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.