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Finding the Fourth Proportional to 4,792.50, 7,186.09 and 3,232.42

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Solution

The fourth proportional to 4,792.50, 7,186.09 and 3,232.42 is: 4,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.50 : 7,186.09 = 3,232.42 : x
  2. Step 2: Convert to fraction form
    4,792.50/7,186.09 = 3,232.42/x
  3. Step 3: Cross multiply
    4,792.50x = 7,186.09 × 3,232.42
  4. Step 4: Simplify right side
    4,792.50x = 23,228,461.04
  5. Step 5: Solve for x
    x = 23,228,461.04/4,792.50
  6. Step 6: Final answer
    x = 4,846.84

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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.