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Finding the Fourth Proportional to 4,628.07, 6,942.11 and 2,164.05

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Solution

The fourth proportional to 4,628.07, 6,942.11 and 2,164.05 is: 3,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.07 : 6,942.11 = 2,164.05 : x
  2. Step 2: Convert to fraction form
    4,628.07/6,942.11 = 2,164.05/x
  3. Step 3: Cross multiply
    4,628.07x = 6,942.11 × 2,164.05
  4. Step 4: Simplify right side
    4,628.07x = 15,023,062.33
  5. Step 5: Solve for x
    x = 15,023,062.33/4,628.07
  6. Step 6: Final answer
    x = 3,246.08

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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.