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Finding the Fourth Proportional to 3,804.29, 5,710.03 and 1,956.71

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Solution

The fourth proportional to 3,804.29, 5,710.03 and 1,956.71 is: 2,936.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.29 : 5,710.03 = 1,956.71 : x
  2. Step 2: Convert to fraction form
    3,804.29/5,710.03 = 1,956.71/x
  3. Step 3: Cross multiply
    3,804.29x = 5,710.03 × 1,956.71
  4. Step 4: Simplify right side
    3,804.29x = 11,172,872.80
  5. Step 5: Solve for x
    x = 11,172,872.80/3,804.29
  6. Step 6: Final answer
    x = 2,936.91

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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.