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Finding the Fourth Proportional to 5,678.83, 8,522.65 and 3,936.03

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Solution

The fourth proportional to 5,678.83, 8,522.65 and 3,936.03 is: 5,907.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.83 : 8,522.65 = 3,936.03 : x
  2. Step 2: Convert to fraction form
    5,678.83/8,522.65 = 3,936.03/x
  3. Step 3: Cross multiply
    5,678.83x = 8,522.65 × 3,936.03
  4. Step 4: Simplify right side
    5,678.83x = 33,545,379.04
  5. Step 5: Solve for x
    x = 33,545,379.04/5,678.83
  6. Step 6: Final answer
    x = 5,907.10

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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.