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Finding the Fourth Proportional to 4,774.41, 7,168.91 and 4,162.05

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Solution

The fourth proportional to 4,774.41, 7,168.91 and 4,162.05 is: 6,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.41 : 7,168.91 = 4,162.05 : x
  2. Step 2: Convert to fraction form
    4,774.41/7,168.91 = 4,162.05/x
  3. Step 3: Cross multiply
    4,774.41x = 7,168.91 × 4,162.05
  4. Step 4: Simplify right side
    4,774.41x = 29,837,341.06
  5. Step 5: Solve for x
    x = 29,837,341.06/4,774.41
  6. Step 6: Final answer
    x = 6,249.43

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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.