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Finding the Fourth Proportional to 3,673.05, 5,505 and 1,480.58

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Solution

The fourth proportional to 3,673.05, 5,505 and 1,480.58 is: 2,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.05 : 5,505 = 1,480.58 : x
  2. Step 2: Convert to fraction form
    3,673.05/5,505 = 1,480.58/x
  3. Step 3: Cross multiply
    3,673.05x = 5,505 × 1,480.58
  4. Step 4: Simplify right side
    3,673.05x = 8,150,565.38
  5. Step 5: Solve for x
    x = 8,150,565.38/3,673.05
  6. Step 6: Final answer
    x = 2,219.02

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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.