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Finding the Fourth Proportional to 4,786.82, 7,173.21 and 2,411.65

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Solution

The fourth proportional to 4,786.82, 7,173.21 and 2,411.65 is: 3,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.82 : 7,173.21 = 2,411.65 : x
  2. Step 2: Convert to fraction form
    4,786.82/7,173.21 = 2,411.65/x
  3. Step 3: Cross multiply
    4,786.82x = 7,173.21 × 2,411.65
  4. Step 4: Simplify right side
    4,786.82x = 17,299,256.17
  5. Step 5: Solve for x
    x = 17,299,256.17/4,786.82
  6. Step 6: Final answer
    x = 3,613.93

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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.