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Finding the Fourth Proportional to 6,486.03, 8,950.38 and 3,832.47

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Solution

The fourth proportional to 6,486.03, 8,950.38 and 3,832.47 is: 5,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.03 : 8,950.38 = 3,832.47 : x
  2. Step 2: Convert to fraction form
    6,486.03/8,950.38 = 3,832.47/x
  3. Step 3: Cross multiply
    6,486.03x = 8,950.38 × 3,832.47
  4. Step 4: Simplify right side
    6,486.03x = 34,302,062.84
  5. Step 5: Solve for x
    x = 34,302,062.84/6,486.03
  6. Step 6: Final answer
    x = 5,288.61

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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.