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Finding the Fourth Proportional to 5,305.84, 7,958.67 and 1,843

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Solution

The fourth proportional to 5,305.84, 7,958.67 and 1,843 is: 2,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.84 : 7,958.67 = 1,843 : x
  2. Step 2: Convert to fraction form
    5,305.84/7,958.67 = 1,843/x
  3. Step 3: Cross multiply
    5,305.84x = 7,958.67 × 1,843
  4. Step 4: Simplify right side
    5,305.84x = 14,667,828.81
  5. Step 5: Solve for x
    x = 14,667,828.81/5,305.84
  6. Step 6: Final answer
    x = 2,764.47

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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.