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Finding the Fourth Proportional to 3,194.69, 4,406.02 and 3,118.59

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Solution

The fourth proportional to 3,194.69, 4,406.02 and 3,118.59 is: 4,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.69 : 4,406.02 = 3,118.59 : x
  2. Step 2: Convert to fraction form
    3,194.69/4,406.02 = 3,118.59/x
  3. Step 3: Cross multiply
    3,194.69x = 4,406.02 × 3,118.59
  4. Step 4: Simplify right side
    3,194.69x = 13,740,562.12
  5. Step 5: Solve for x
    x = 13,740,562.12/3,194.69
  6. Step 6: Final answer
    x = 4,301.07

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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.