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Finding the Fourth Proportional to 4,884.36, 6,740.10 and 3,021

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Solution

The fourth proportional to 4,884.36, 6,740.10 and 3,021 is: 4,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.36 : 6,740.10 = 3,021 : x
  2. Step 2: Convert to fraction form
    4,884.36/6,740.10 = 3,021/x
  3. Step 3: Cross multiply
    4,884.36x = 6,740.10 × 3,021
  4. Step 4: Simplify right side
    4,884.36x = 20,361,842.10
  5. Step 5: Solve for x
    x = 20,361,842.10/4,884.36
  6. Step 6: Final answer
    x = 4,168.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.