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Finding the Fourth Proportional to 5,046.65, 7,571.12 and 1,536.97

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Solution

The fourth proportional to 5,046.65, 7,571.12 and 1,536.97 is: 2,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.65 : 7,571.12 = 1,536.97 : x
  2. Step 2: Convert to fraction form
    5,046.65/7,571.12 = 1,536.97/x
  3. Step 3: Cross multiply
    5,046.65x = 7,571.12 × 1,536.97
  4. Step 4: Simplify right side
    5,046.65x = 11,636,586.09
  5. Step 5: Solve for x
    x = 11,636,586.09/5,046.65
  6. Step 6: Final answer
    x = 2,305.80

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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.