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Finding the Fourth Proportional to 3,187.96, 4,399.86 and 2,514.22

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Solution

The fourth proportional to 3,187.96, 4,399.86 and 2,514.22 is: 3,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.96 : 4,399.86 = 2,514.22 : x
  2. Step 2: Convert to fraction form
    3,187.96/4,399.86 = 2,514.22/x
  3. Step 3: Cross multiply
    3,187.96x = 4,399.86 × 2,514.22
  4. Step 4: Simplify right side
    3,187.96x = 11,062,216.01
  5. Step 5: Solve for x
    x = 11,062,216.01/3,187.96
  6. Step 6: Final answer
    x = 3,470.00

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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.