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Finding the Fourth Proportional to 4,633.14, 6,933.30 and 4,086.40

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Solution

The fourth proportional to 4,633.14, 6,933.30 and 4,086.40 is: 6,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.14 : 6,933.30 = 4,086.40 : x
  2. Step 2: Convert to fraction form
    4,633.14/6,933.30 = 4,086.40/x
  3. Step 3: Cross multiply
    4,633.14x = 6,933.30 × 4,086.40
  4. Step 4: Simplify right side
    4,633.14x = 28,332,237.12
  5. Step 5: Solve for x
    x = 28,332,237.12/4,633.14
  6. Step 6: Final answer
    x = 6,115.13

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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.