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Finding the Fourth Proportional to 4,878, 7,270.68 and 4,593.96

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Solution

The fourth proportional to 4,878, 7,270.68 and 4,593.96 is: 6,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878 : 7,270.68 = 4,593.96 : x
  2. Step 2: Convert to fraction form
    4,878/7,270.68 = 4,593.96/x
  3. Step 3: Cross multiply
    4,878x = 7,270.68 × 4,593.96
  4. Step 4: Simplify right side
    4,878x = 33,401,213.09
  5. Step 5: Solve for x
    x = 33,401,213.09/4,878
  6. Step 6: Final answer
    x = 6,847.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.