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Finding the Fourth Proportional to 3,480.09, 5,220.13 and 3,438.78

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Solution

The fourth proportional to 3,480.09, 5,220.13 and 3,438.78 is: 5,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.09 : 5,220.13 = 3,438.78 : x
  2. Step 2: Convert to fraction form
    3,480.09/5,220.13 = 3,438.78/x
  3. Step 3: Cross multiply
    3,480.09x = 5,220.13 × 3,438.78
  4. Step 4: Simplify right side
    3,480.09x = 17,950,878.64
  5. Step 5: Solve for x
    x = 17,950,878.64/3,480.09
  6. Step 6: Final answer
    x = 5,158.17

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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.