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Finding the Fourth Proportional to 5,285.29, 7,936.32 and 5,096.68

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Solution

The fourth proportional to 5,285.29, 7,936.32 and 5,096.68 is: 7,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.29 : 7,936.32 = 5,096.68 : x
  2. Step 2: Convert to fraction form
    5,285.29/7,936.32 = 5,096.68/x
  3. Step 3: Cross multiply
    5,285.29x = 7,936.32 × 5,096.68
  4. Step 4: Simplify right side
    5,285.29x = 40,448,883.42
  5. Step 5: Solve for x
    x = 40,448,883.42/5,285.29
  6. Step 6: Final answer
    x = 7,653.11

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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.