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Finding the Fourth Proportional to 6,380.47, 8,803.01 and 3,861.77

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Solution

The fourth proportional to 6,380.47, 8,803.01 and 3,861.77 is: 5,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.47 : 8,803.01 = 3,861.77 : x
  2. Step 2: Convert to fraction form
    6,380.47/8,803.01 = 3,861.77/x
  3. Step 3: Cross multiply
    6,380.47x = 8,803.01 × 3,861.77
  4. Step 4: Simplify right side
    6,380.47x = 33,995,199.93
  5. Step 5: Solve for x
    x = 33,995,199.93/6,380.47
  6. Step 6: Final answer
    x = 5,328.01

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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.