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Finding the Fourth Proportional to 5,194.94, 7,169.01 and 3,705.45

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Solution

The fourth proportional to 5,194.94, 7,169.01 and 3,705.45 is: 5,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.94 : 7,169.01 = 3,705.45 : x
  2. Step 2: Convert to fraction form
    5,194.94/7,169.01 = 3,705.45/x
  3. Step 3: Cross multiply
    5,194.94x = 7,169.01 × 3,705.45
  4. Step 4: Simplify right side
    5,194.94x = 26,564,367.33
  5. Step 5: Solve for x
    x = 26,564,367.33/5,194.94
  6. Step 6: Final answer
    x = 5,113.51

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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.