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Finding the Fourth Proportional to 3,696.60, 5,543.78 and 1,356.05

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Solution

The fourth proportional to 3,696.60, 5,543.78 and 1,356.05 is: 2,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.60 : 5,543.78 = 1,356.05 : x
  2. Step 2: Convert to fraction form
    3,696.60/5,543.78 = 1,356.05/x
  3. Step 3: Cross multiply
    3,696.60x = 5,543.78 × 1,356.05
  4. Step 4: Simplify right side
    3,696.60x = 7,517,642.87
  5. Step 5: Solve for x
    x = 7,517,642.87/3,696.60
  6. Step 6: Final answer
    x = 2,033.66

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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.