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Finding the Fourth Proportional to 4,194.17, 6,291.24 and 1,074.17

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Solution

The fourth proportional to 4,194.17, 6,291.24 and 1,074.17 is: 1,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.17 : 6,291.24 = 1,074.17 : x
  2. Step 2: Convert to fraction form
    4,194.17/6,291.24 = 1,074.17/x
  3. Step 3: Cross multiply
    4,194.17x = 6,291.24 × 1,074.17
  4. Step 4: Simplify right side
    4,194.17x = 6,757,877.00
  5. Step 5: Solve for x
    x = 6,757,877.00/4,194.17
  6. Step 6: Final answer
    x = 1,611.25

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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.