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Finding the Fourth Proportional to 3,450.56, 5,175.05 and 985.32

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Solution

The fourth proportional to 3,450.56, 5,175.05 and 985.32 is: 1,477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.56 : 5,175.05 = 985.32 : x
  2. Step 2: Convert to fraction form
    3,450.56/5,175.05 = 985.32/x
  3. Step 3: Cross multiply
    3,450.56x = 5,175.05 × 985.32
  4. Step 4: Simplify right side
    3,450.56x = 5,099,080.27
  5. Step 5: Solve for x
    x = 5,099,080.27/3,450.56
  6. Step 6: Final answer
    x = 1,477.76

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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.