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Finding the Fourth Proportional to 6,202.71, 8,558.87 and 3,549.56

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Solution

The fourth proportional to 6,202.71, 8,558.87 and 3,549.56 is: 4,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.71 : 8,558.87 = 3,549.56 : x
  2. Step 2: Convert to fraction form
    6,202.71/8,558.87 = 3,549.56/x
  3. Step 3: Cross multiply
    6,202.71x = 8,558.87 × 3,549.56
  4. Step 4: Simplify right side
    6,202.71x = 30,380,162.06
  5. Step 5: Solve for x
    x = 30,380,162.06/6,202.71
  6. Step 6: Final answer
    x = 4,897.89

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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.