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Finding the Fourth Proportional to 4,630.74, 6,947.14 and 2,164.22

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Solution

The fourth proportional to 4,630.74, 6,947.14 and 2,164.22 is: 3,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.74 : 6,947.14 = 2,164.22 : x
  2. Step 2: Convert to fraction form
    4,630.74/6,947.14 = 2,164.22/x
  3. Step 3: Cross multiply
    4,630.74x = 6,947.14 × 2,164.22
  4. Step 4: Simplify right side
    4,630.74x = 15,035,135.38
  5. Step 5: Solve for x
    x = 15,035,135.38/4,630.74
  6. Step 6: Final answer
    x = 3,246.81

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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.