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Finding the Fourth Proportional to 3,653.69, 5,479.37 and 1,187.92

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Solution

The fourth proportional to 3,653.69, 5,479.37 and 1,187.92 is: 1,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.69 : 5,479.37 = 1,187.92 : x
  2. Step 2: Convert to fraction form
    3,653.69/5,479.37 = 1,187.92/x
  3. Step 3: Cross multiply
    3,653.69x = 5,479.37 × 1,187.92
  4. Step 4: Simplify right side
    3,653.69x = 6,509,019.87
  5. Step 5: Solve for x
    x = 6,509,019.87/3,653.69
  6. Step 6: Final answer
    x = 1,781.49

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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.