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Finding the Fourth Proportional to 3,696.63, 5,544.68 and 923.24

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Solution

The fourth proportional to 3,696.63, 5,544.68 and 923.24 is: 1,384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.63 : 5,544.68 = 923.24 : x
  2. Step 2: Convert to fraction form
    3,696.63/5,544.68 = 923.24/x
  3. Step 3: Cross multiply
    3,696.63x = 5,544.68 × 923.24
  4. Step 4: Simplify right side
    3,696.63x = 5,119,070.36
  5. Step 5: Solve for x
    x = 5,119,070.36/3,696.63
  6. Step 6: Final answer
    x = 1,384.79

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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.