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Finding the Fourth Proportional to 3,814.65, 5,721.97 and 2,506.66

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Solution

The fourth proportional to 3,814.65, 5,721.97 and 2,506.66 is: 3,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.65 : 5,721.97 = 2,506.66 : x
  2. Step 2: Convert to fraction form
    3,814.65/5,721.97 = 2,506.66/x
  3. Step 3: Cross multiply
    3,814.65x = 5,721.97 × 2,506.66
  4. Step 4: Simplify right side
    3,814.65x = 14,343,033.32
  5. Step 5: Solve for x
    x = 14,343,033.32/3,814.65
  6. Step 6: Final answer
    x = 3,759.99

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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.