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Finding the Fourth Proportional to 4,309.05, 6,463.62 and 1,842.33

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Solution

The fourth proportional to 4,309.05, 6,463.62 and 1,842.33 is: 2,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.05 : 6,463.62 = 1,842.33 : x
  2. Step 2: Convert to fraction form
    4,309.05/6,463.62 = 1,842.33/x
  3. Step 3: Cross multiply
    4,309.05x = 6,463.62 × 1,842.33
  4. Step 4: Simplify right side
    4,309.05x = 11,908,121.03
  5. Step 5: Solve for x
    x = 11,908,121.03/4,309.05
  6. Step 6: Final answer
    x = 2,763.51

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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.