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Finding the Fourth Proportional to 4,015.36, 6,012.16 and 2,780.16

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Solution

The fourth proportional to 4,015.36, 6,012.16 and 2,780.16 is: 4,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015.36 : 6,012.16 = 2,780.16 : x
  2. Step 2: Convert to fraction form
    4,015.36/6,012.16 = 2,780.16/x
  3. Step 3: Cross multiply
    4,015.36x = 6,012.16 × 2,780.16
  4. Step 4: Simplify right side
    4,015.36x = 16,714,766.75
  5. Step 5: Solve for x
    x = 16,714,766.75/4,015.36
  6. Step 6: Final answer
    x = 4,162.71

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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.