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Finding the Fourth Proportional to 6,404.18, 8,837.75 and 3,751.05

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Solution

The fourth proportional to 6,404.18, 8,837.75 and 3,751.05 is: 5,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.18 : 8,837.75 = 3,751.05 : x
  2. Step 2: Convert to fraction form
    6,404.18/8,837.75 = 3,751.05/x
  3. Step 3: Cross multiply
    6,404.18x = 8,837.75 × 3,751.05
  4. Step 4: Simplify right side
    6,404.18x = 33,150,823.38
  5. Step 5: Solve for x
    x = 33,150,823.38/6,404.18
  6. Step 6: Final answer
    x = 5,176.44

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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.