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Finding the Fourth Proportional to 3,204.86, 4,808.04 and 1,356.14

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Solution

The fourth proportional to 3,204.86, 4,808.04 and 1,356.14 is: 2,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.86 : 4,808.04 = 1,356.14 : x
  2. Step 2: Convert to fraction form
    3,204.86/4,808.04 = 1,356.14/x
  3. Step 3: Cross multiply
    3,204.86x = 4,808.04 × 1,356.14
  4. Step 4: Simplify right side
    3,204.86x = 6,520,375.37
  5. Step 5: Solve for x
    x = 6,520,375.37/3,204.86
  6. Step 6: Final answer
    x = 2,034.53

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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.