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Finding the Fourth Proportional to 4,194.69, 6,289.75 and 2,713.70

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Solution

The fourth proportional to 4,194.69, 6,289.75 and 2,713.70 is: 4,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.69 : 6,289.75 = 2,713.70 : x
  2. Step 2: Convert to fraction form
    4,194.69/6,289.75 = 2,713.70/x
  3. Step 3: Cross multiply
    4,194.69x = 6,289.75 × 2,713.70
  4. Step 4: Simplify right side
    4,194.69x = 17,068,513.69
  5. Step 5: Solve for x
    x = 17,068,513.69/4,194.69
  6. Step 6: Final answer
    x = 4,069.08

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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.