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Finding the Fourth Proportional to 6,374.75, 8,796.97 and 3,542.12

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Solution

The fourth proportional to 6,374.75, 8,796.97 and 3,542.12 is: 4,888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.75 : 8,796.97 = 3,542.12 : x
  2. Step 2: Convert to fraction form
    6,374.75/8,796.97 = 3,542.12/x
  3. Step 3: Cross multiply
    6,374.75x = 8,796.97 × 3,542.12
  4. Step 4: Simplify right side
    6,374.75x = 31,159,861.68
  5. Step 5: Solve for x
    x = 31,159,861.68/6,374.75
  6. Step 6: Final answer
    x = 4,888.01

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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.