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Finding the Fourth Proportional to 3,696.35, 5,543.24 and 1,063.14

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Solution

The fourth proportional to 3,696.35, 5,543.24 and 1,063.14 is: 1,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.35 : 5,543.24 = 1,063.14 : x
  2. Step 2: Convert to fraction form
    3,696.35/5,543.24 = 1,063.14/x
  3. Step 3: Cross multiply
    3,696.35x = 5,543.24 × 1,063.14
  4. Step 4: Simplify right side
    3,696.35x = 5,893,240.17
  5. Step 5: Solve for x
    x = 5,893,240.17/3,696.35
  6. Step 6: Final answer
    x = 1,594.34

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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.