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Finding the Fourth Proportional to 6,468.58, 8,926.86 and 3,950.38

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Solution

The fourth proportional to 6,468.58, 8,926.86 and 3,950.38 is: 5,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.58 : 8,926.86 = 3,950.38 : x
  2. Step 2: Convert to fraction form
    6,468.58/8,926.86 = 3,950.38/x
  3. Step 3: Cross multiply
    6,468.58x = 8,926.86 × 3,950.38
  4. Step 4: Simplify right side
    6,468.58x = 35,264,489.21
  5. Step 5: Solve for x
    x = 35,264,489.21/6,468.58
  6. Step 6: Final answer
    x = 5,451.66

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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.