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Finding the Fourth Proportional to 4,076.80, 6,116 and 1,479.68

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Solution

The fourth proportional to 4,076.80, 6,116 and 1,479.68 is: 2,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.80 : 6,116 = 1,479.68 : x
  2. Step 2: Convert to fraction form
    4,076.80/6,116 = 1,479.68/x
  3. Step 3: Cross multiply
    4,076.80x = 6,116 × 1,479.68
  4. Step 4: Simplify right side
    4,076.80x = 9,049,722.88
  5. Step 5: Solve for x
    x = 9,049,722.88/4,076.80
  6. Step 6: Final answer
    x = 2,219.81

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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.