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Finding the Fourth Proportional to 4,677.41, 6,463.38 and 4,449.62

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Solution

The fourth proportional to 4,677.41, 6,463.38 and 4,449.62 is: 6,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.41 : 6,463.38 = 4,449.62 : x
  2. Step 2: Convert to fraction form
    4,677.41/6,463.38 = 4,449.62/x
  3. Step 3: Cross multiply
    4,677.41x = 6,463.38 × 4,449.62
  4. Step 4: Simplify right side
    4,677.41x = 28,759,530.35
  5. Step 5: Solve for x
    x = 28,759,530.35/4,677.41
  6. Step 6: Final answer
    x = 6,148.61

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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.