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Finding the Fourth Proportional to 6,378.60, 8,803.32 and 3,860.80

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Solution

The fourth proportional to 6,378.60, 8,803.32 and 3,860.80 is: 5,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.60 : 8,803.32 = 3,860.80 : x
  2. Step 2: Convert to fraction form
    6,378.60/8,803.32 = 3,860.80/x
  3. Step 3: Cross multiply
    6,378.60x = 8,803.32 × 3,860.80
  4. Step 4: Simplify right side
    6,378.60x = 33,987,857.86
  5. Step 5: Solve for x
    x = 33,987,857.86/6,378.60
  6. Step 6: Final answer
    x = 5,328.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.