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Finding the Fourth Proportional to 3,696.62, 5,543.57 and 1,504.16

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Solution

The fourth proportional to 3,696.62, 5,543.57 and 1,504.16 is: 2,255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.62 : 5,543.57 = 1,504.16 : x
  2. Step 2: Convert to fraction form
    3,696.62/5,543.57 = 1,504.16/x
  3. Step 3: Cross multiply
    3,696.62x = 5,543.57 × 1,504.16
  4. Step 4: Simplify right side
    3,696.62x = 8,338,381.01
  5. Step 5: Solve for x
    x = 8,338,381.01/3,696.62
  6. Step 6: Final answer
    x = 2,255.68

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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.