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Finding the Fourth Proportional to 3,653.69, 5,480.48 and 3,420.21

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Solution

The fourth proportional to 3,653.69, 5,480.48 and 3,420.21 is: 5,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.69 : 5,480.48 = 3,420.21 : x
  2. Step 2: Convert to fraction form
    3,653.69/5,480.48 = 3,420.21/x
  3. Step 3: Cross multiply
    3,653.69x = 5,480.48 × 3,420.21
  4. Step 4: Simplify right side
    3,653.69x = 18,744,401.05
  5. Step 5: Solve for x
    x = 18,744,401.05/3,653.69
  6. Step 6: Final answer
    x = 5,130.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.