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Finding the Fourth Proportional to 3,696.92, 5,544.55 and 1,063.84

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Solution

The fourth proportional to 3,696.92, 5,544.55 and 1,063.84 is: 1,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.92 : 5,544.55 = 1,063.84 : x
  2. Step 2: Convert to fraction form
    3,696.92/5,544.55 = 1,063.84/x
  3. Step 3: Cross multiply
    3,696.92x = 5,544.55 × 1,063.84
  4. Step 4: Simplify right side
    3,696.92x = 5,898,514.07
  5. Step 5: Solve for x
    x = 5,898,514.07/3,696.92
  6. Step 6: Final answer
    x = 1,595.52

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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.