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Finding the Fourth Proportional to 6,178.08, 9,262.08 and 2,280.48

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Solution

The fourth proportional to 6,178.08, 9,262.08 and 2,280.48 is: 3,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.08 : 9,262.08 = 2,280.48 : x
  2. Step 2: Convert to fraction form
    6,178.08/9,262.08 = 2,280.48/x
  3. Step 3: Cross multiply
    6,178.08x = 9,262.08 × 2,280.48
  4. Step 4: Simplify right side
    6,178.08x = 21,121,988.20
  5. Step 5: Solve for x
    x = 21,121,988.20/6,178.08
  6. Step 6: Final answer
    x = 3,418.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.