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Finding the Fourth Proportional to 4,761.96, 7,137 and 3,670.44

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Solution

The fourth proportional to 4,761.96, 7,137 and 3,670.44 is: 5,501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.96 : 7,137 = 3,670.44 : x
  2. Step 2: Convert to fraction form
    4,761.96/7,137 = 3,670.44/x
  3. Step 3: Cross multiply
    4,761.96x = 7,137 × 3,670.44
  4. Step 4: Simplify right side
    4,761.96x = 26,195,930.28
  5. Step 5: Solve for x
    x = 26,195,930.28/4,761.96
  6. Step 6: Final answer
    x = 5,501.08

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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.