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Finding the Fourth Proportional to 3,696.72, 5,543.22 and 2,054.40

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Solution

The fourth proportional to 3,696.72, 5,543.22 and 2,054.40 is: 3,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.72 : 5,543.22 = 2,054.40 : x
  2. Step 2: Convert to fraction form
    3,696.72/5,543.22 = 2,054.40/x
  3. Step 3: Cross multiply
    3,696.72x = 5,543.22 × 2,054.40
  4. Step 4: Simplify right side
    3,696.72x = 11,387,991.17
  5. Step 5: Solve for x
    x = 11,387,991.17/3,696.72
  6. Step 6: Final answer
    x = 3,080.57

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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.