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Finding the Fourth Proportional to 3,696.46, 5,544.54 and 1,099.32

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Solution

The fourth proportional to 3,696.46, 5,544.54 and 1,099.32 is: 1,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.46 : 5,544.54 = 1,099.32 : x
  2. Step 2: Convert to fraction form
    3,696.46/5,544.54 = 1,099.32/x
  3. Step 3: Cross multiply
    3,696.46x = 5,544.54 × 1,099.32
  4. Step 4: Simplify right side
    3,696.46x = 6,095,223.71
  5. Step 5: Solve for x
    x = 6,095,223.71/3,696.46
  6. Step 6: Final answer
    x = 1,648.94

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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.