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Finding the Fourth Proportional to 3,696.12, 5,544.15 and 922.77

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Solution

The fourth proportional to 3,696.12, 5,544.15 and 922.77 is: 1,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.12 : 5,544.15 = 922.77 : x
  2. Step 2: Convert to fraction form
    3,696.12/5,544.15 = 922.77/x
  3. Step 3: Cross multiply
    3,696.12x = 5,544.15 × 922.77
  4. Step 4: Simplify right side
    3,696.12x = 5,115,975.30
  5. Step 5: Solve for x
    x = 5,115,975.30/3,696.12
  6. Step 6: Final answer
    x = 1,384.15

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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.