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Finding the Fourth Proportional to 3,162.93, 4,743.18 and 2,186.07

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Solution

The fourth proportional to 3,162.93, 4,743.18 and 2,186.07 is: 3,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.93 : 4,743.18 = 2,186.07 : x
  2. Step 2: Convert to fraction form
    3,162.93/4,743.18 = 2,186.07/x
  3. Step 3: Cross multiply
    3,162.93x = 4,743.18 × 2,186.07
  4. Step 4: Simplify right side
    3,162.93x = 10,368,923.50
  5. Step 5: Solve for x
    x = 10,368,923.50/3,162.93
  6. Step 6: Final answer
    x = 3,278.27

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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.