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Finding the Fourth Proportional to 4,930.74, 7,396.07 and 3,178.40

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Solution

The fourth proportional to 4,930.74, 7,396.07 and 3,178.40 is: 4,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.74 : 7,396.07 = 3,178.40 : x
  2. Step 2: Convert to fraction form
    4,930.74/7,396.07 = 3,178.40/x
  3. Step 3: Cross multiply
    4,930.74x = 7,396.07 × 3,178.40
  4. Step 4: Simplify right side
    4,930.74x = 23,507,616.02
  5. Step 5: Solve for x
    x = 23,507,616.02/4,930.74
  6. Step 6: Final answer
    x = 4,767.56

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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.