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Finding the Fourth Proportional to 3,450.11, 5,175.36 and 984.74

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Solution

The fourth proportional to 3,450.11, 5,175.36 and 984.74 is: 1,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.11 : 5,175.36 = 984.74 : x
  2. Step 2: Convert to fraction form
    3,450.11/5,175.36 = 984.74/x
  3. Step 3: Cross multiply
    3,450.11x = 5,175.36 × 984.74
  4. Step 4: Simplify right side
    3,450.11x = 5,096,358.13
  5. Step 5: Solve for x
    x = 5,096,358.13/3,450.11
  6. Step 6: Final answer
    x = 1,477.16

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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.