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Finding the Fourth Proportional to 4,194.93, 6,291.27 and 1,999.29

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Solution

The fourth proportional to 4,194.93, 6,291.27 and 1,999.29 is: 2,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.93 : 6,291.27 = 1,999.29 : x
  2. Step 2: Convert to fraction form
    4,194.93/6,291.27 = 1,999.29/x
  3. Step 3: Cross multiply
    4,194.93x = 6,291.27 × 1,999.29
  4. Step 4: Simplify right side
    4,194.93x = 12,578,073.20
  5. Step 5: Solve for x
    x = 12,578,073.20/4,194.93
  6. Step 6: Final answer
    x = 2,998.40

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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.