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Finding the Fourth Proportional to 3,450.94, 5,175.68 and 985.10

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Solution

The fourth proportional to 3,450.94, 5,175.68 and 985.10 is: 1,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.94 : 5,175.68 = 985.10 : x
  2. Step 2: Convert to fraction form
    3,450.94/5,175.68 = 985.10/x
  3. Step 3: Cross multiply
    3,450.94x = 5,175.68 × 985.10
  4. Step 4: Simplify right side
    3,450.94x = 5,098,562.37
  5. Step 5: Solve for x
    x = 5,098,562.37/3,450.94
  6. Step 6: Final answer
    x = 1,477.44

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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.