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Finding the Fourth Proportional to 3,106.86, 4,285.23 and 2,162.99

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Solution

The fourth proportional to 3,106.86, 4,285.23 and 2,162.99 is: 2,983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.86 : 4,285.23 = 2,162.99 : x
  2. Step 2: Convert to fraction form
    3,106.86/4,285.23 = 2,162.99/x
  3. Step 3: Cross multiply
    3,106.86x = 4,285.23 × 2,162.99
  4. Step 4: Simplify right side
    3,106.86x = 9,268,888.21
  5. Step 5: Solve for x
    x = 9,268,888.21/3,106.86
  6. Step 6: Final answer
    x = 2,983.36

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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.