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Finding the Fourth Proportional to 5,356.62, 8,037.99 and 3,169.62

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Solution

The fourth proportional to 5,356.62, 8,037.99 and 3,169.62 is: 4,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.62 : 8,037.99 = 3,169.62 : x
  2. Step 2: Convert to fraction form
    5,356.62/8,037.99 = 3,169.62/x
  3. Step 3: Cross multiply
    5,356.62x = 8,037.99 × 3,169.62
  4. Step 4: Simplify right side
    5,356.62x = 25,477,373.86
  5. Step 5: Solve for x
    x = 25,477,373.86/5,356.62
  6. Step 6: Final answer
    x = 4,756.24

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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.