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Finding the Fourth Proportional to 5,884, 8,820.04 and 3,694.28

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Solution

The fourth proportional to 5,884, 8,820.04 and 3,694.28 is: 5,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884 : 8,820.04 = 3,694.28 : x
  2. Step 2: Convert to fraction form
    5,884/8,820.04 = 3,694.28/x
  3. Step 3: Cross multiply
    5,884x = 8,820.04 × 3,694.28
  4. Step 4: Simplify right side
    5,884x = 32,583,697.37
  5. Step 5: Solve for x
    x = 32,583,697.37/5,884
  6. Step 6: Final answer
    x = 5,537.68

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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.