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Finding the Fourth Proportional to 3,698.41, 5,546.99 and 1,100.74

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Solution

The fourth proportional to 3,698.41, 5,546.99 and 1,100.74 is: 1,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.41 : 5,546.99 = 1,100.74 : x
  2. Step 2: Convert to fraction form
    3,698.41/5,546.99 = 1,100.74/x
  3. Step 3: Cross multiply
    3,698.41x = 5,546.99 × 1,100.74
  4. Step 4: Simplify right side
    3,698.41x = 6,105,788.27
  5. Step 5: Solve for x
    x = 6,105,788.27/3,698.41
  6. Step 6: Final answer
    x = 1,650.92

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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.