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Finding the Fourth Proportional to 4,961.14, 7,430.79 and 3,647.19

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Solution

The fourth proportional to 4,961.14, 7,430.79 and 3,647.19 is: 5,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.14 : 7,430.79 = 3,647.19 : x
  2. Step 2: Convert to fraction form
    4,961.14/7,430.79 = 3,647.19/x
  3. Step 3: Cross multiply
    4,961.14x = 7,430.79 × 3,647.19
  4. Step 4: Simplify right side
    4,961.14x = 27,101,502.98
  5. Step 5: Solve for x
    x = 27,101,502.98/4,961.14
  6. Step 6: Final answer
    x = 5,462.76

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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.