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Finding the Fourth Proportional to 6,381.80, 8,806.80 and 3,549.20

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Solution

The fourth proportional to 6,381.80, 8,806.80 and 3,549.20 is: 4,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.80 : 8,806.80 = 3,549.20 : x
  2. Step 2: Convert to fraction form
    6,381.80/8,806.80 = 3,549.20/x
  3. Step 3: Cross multiply
    6,381.80x = 8,806.80 × 3,549.20
  4. Step 4: Simplify right side
    6,381.80x = 31,257,094.56
  5. Step 5: Solve for x
    x = 31,257,094.56/6,381.80
  6. Step 6: Final answer
    x = 4,897.85

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