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Finding the Fourth Proportional to 4,930.85, 7,396.32 and 1,468.10

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Solution

The fourth proportional to 4,930.85, 7,396.32 and 1,468.10 is: 2,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.85 : 7,396.32 = 1,468.10 : x
  2. Step 2: Convert to fraction form
    4,930.85/7,396.32 = 1,468.10/x
  3. Step 3: Cross multiply
    4,930.85x = 7,396.32 × 1,468.10
  4. Step 4: Simplify right side
    4,930.85x = 10,858,537.39
  5. Step 5: Solve for x
    x = 10,858,537.39/4,930.85
  6. Step 6: Final answer
    x = 2,202.16

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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.