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Finding the Fourth Proportional to 4,768.38, 6,574.83 and 4,473.18

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Solution

The fourth proportional to 4,768.38, 6,574.83 and 4,473.18 is: 6,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.38 : 6,574.83 = 4,473.18 : x
  2. Step 2: Convert to fraction form
    4,768.38/6,574.83 = 4,473.18/x
  3. Step 3: Cross multiply
    4,768.38x = 6,574.83 × 4,473.18
  4. Step 4: Simplify right side
    4,768.38x = 29,410,398.06
  5. Step 5: Solve for x
    x = 29,410,398.06/4,768.38
  6. Step 6: Final answer
    x = 6,167.80

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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.