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Finding the Fourth Proportional to 4,656.38, 6,976.45 and 3,881.37

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Solution

The fourth proportional to 4,656.38, 6,976.45 and 3,881.37 is: 5,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.38 : 6,976.45 = 3,881.37 : x
  2. Step 2: Convert to fraction form
    4,656.38/6,976.45 = 3,881.37/x
  3. Step 3: Cross multiply
    4,656.38x = 6,976.45 × 3,881.37
  4. Step 4: Simplify right side
    4,656.38x = 27,078,148.85
  5. Step 5: Solve for x
    x = 27,078,148.85/4,656.38
  6. Step 6: Final answer
    x = 5,815.28

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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.