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Finding the Fourth Proportional to 3,696.09, 5,544.12 and 922.76

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Solution

The fourth proportional to 3,696.09, 5,544.12 and 922.76 is: 1,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.09 : 5,544.12 = 922.76 : x
  2. Step 2: Convert to fraction form
    3,696.09/5,544.12 = 922.76/x
  3. Step 3: Cross multiply
    3,696.09x = 5,544.12 × 922.76
  4. Step 4: Simplify right side
    3,696.09x = 5,115,859.84
  5. Step 5: Solve for x
    x = 5,115,859.84/3,696.09
  6. Step 6: Final answer
    x = 1,384.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.