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Finding the Fourth Proportional to 3,505.62, 5,229.70 and 3,410.28

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Solution

The fourth proportional to 3,505.62, 5,229.70 and 3,410.28 is: 5,087.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.62 : 5,229.70 = 3,410.28 : x
  2. Step 2: Convert to fraction form
    3,505.62/5,229.70 = 3,410.28/x
  3. Step 3: Cross multiply
    3,505.62x = 5,229.70 × 3,410.28
  4. Step 4: Simplify right side
    3,505.62x = 17,834,741.32
  5. Step 5: Solve for x
    x = 17,834,741.32/3,505.62
  6. Step 6: Final answer
    x = 5,087.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.