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Finding the Fourth Proportional to 6,196.21, 8,548.08 and 3,542.65

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Solution

The fourth proportional to 6,196.21, 8,548.08 and 3,542.65 is: 4,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.21 : 8,548.08 = 3,542.65 : x
  2. Step 2: Convert to fraction form
    6,196.21/8,548.08 = 3,542.65/x
  3. Step 3: Cross multiply
    6,196.21x = 8,548.08 × 3,542.65
  4. Step 4: Simplify right side
    6,196.21x = 30,282,855.61
  5. Step 5: Solve for x
    x = 30,282,855.61/6,196.21
  6. Step 6: Final answer
    x = 4,887.32

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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.