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Finding the Fourth Proportional to 4,863.56, 6,709.38 and 3,184.36

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Solution

The fourth proportional to 4,863.56, 6,709.38 and 3,184.36 is: 4,392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.56 : 6,709.38 = 3,184.36 : x
  2. Step 2: Convert to fraction form
    4,863.56/6,709.38 = 3,184.36/x
  3. Step 3: Cross multiply
    4,863.56x = 6,709.38 × 3,184.36
  4. Step 4: Simplify right side
    4,863.56x = 21,365,081.30
  5. Step 5: Solve for x
    x = 21,365,081.30/4,863.56
  6. Step 6: Final answer
    x = 4,392.89

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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.