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Finding the Fourth Proportional to 4,109.15, 5,657.63 and 3,734.99

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Solution

The fourth proportional to 4,109.15, 5,657.63 and 3,734.99 is: 5,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.15 : 5,657.63 = 3,734.99 : x
  2. Step 2: Convert to fraction form
    4,109.15/5,657.63 = 3,734.99/x
  3. Step 3: Cross multiply
    4,109.15x = 5,657.63 × 3,734.99
  4. Step 4: Simplify right side
    4,109.15x = 21,131,144.51
  5. Step 5: Solve for x
    x = 21,131,144.51/4,109.15
  6. Step 6: Final answer
    x = 5,142.47

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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.