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Finding the Fourth Proportional to 5,210.93, 7,793.21 and 4,629.71

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Solution

The fourth proportional to 5,210.93, 7,793.21 and 4,629.71 is: 6,923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.93 : 7,793.21 = 4,629.71 : x
  2. Step 2: Convert to fraction form
    5,210.93/7,793.21 = 4,629.71/x
  3. Step 3: Cross multiply
    5,210.93x = 7,793.21 × 4,629.71
  4. Step 4: Simplify right side
    5,210.93x = 36,080,333.33
  5. Step 5: Solve for x
    x = 36,080,333.33/5,210.93
  6. Step 6: Final answer
    x = 6,923.97

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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.