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Finding the Fourth Proportional to 6,381.72, 8,806.50 and 3,549.30

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Solution

The fourth proportional to 6,381.72, 8,806.50 and 3,549.30 is: 4,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.72 : 8,806.50 = 3,549.30 : x
  2. Step 2: Convert to fraction form
    6,381.72/8,806.50 = 3,549.30/x
  3. Step 3: Cross multiply
    6,381.72x = 8,806.50 × 3,549.30
  4. Step 4: Simplify right side
    6,381.72x = 31,256,910.45
  5. Step 5: Solve for x
    x = 31,256,910.45/6,381.72
  6. Step 6: Final answer
    x = 4,897.88

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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.