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Finding the Fourth Proportional to 3,920.03, 5,880.06 and 998.34

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Solution

The fourth proportional to 3,920.03, 5,880.06 and 998.34 is: 1,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.03 : 5,880.06 = 998.34 : x
  2. Step 2: Convert to fraction form
    3,920.03/5,880.06 = 998.34/x
  3. Step 3: Cross multiply
    3,920.03x = 5,880.06 × 998.34
  4. Step 4: Simplify right side
    3,920.03x = 5,870,299.10
  5. Step 5: Solve for x
    x = 5,870,299.10/3,920.03
  6. Step 6: Final answer
    x = 1,497.52

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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.