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Finding the Fourth Proportional to 6,343.70, 8,754.21 and 3,549.20

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Solution

The fourth proportional to 6,343.70, 8,754.21 and 3,549.20 is: 4,897.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.70 : 8,754.21 = 3,549.20 : x
  2. Step 2: Convert to fraction form
    6,343.70/8,754.21 = 3,549.20/x
  3. Step 3: Cross multiply
    6,343.70x = 8,754.21 × 3,549.20
  4. Step 4: Simplify right side
    6,343.70x = 31,070,442.13
  5. Step 5: Solve for x
    x = 31,070,442.13/6,343.70
  6. Step 6: Final answer
    x = 4,897.84

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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.