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Finding the Fourth Proportional to 4,968.09, 6,844.37 and 4,088.97

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Solution

The fourth proportional to 4,968.09, 6,844.37 and 4,088.97 is: 5,633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.09 : 6,844.37 = 4,088.97 : x
  2. Step 2: Convert to fraction form
    4,968.09/6,844.37 = 4,088.97/x
  3. Step 3: Cross multiply
    4,968.09x = 6,844.37 × 4,088.97
  4. Step 4: Simplify right side
    4,968.09x = 27,986,403.15
  5. Step 5: Solve for x
    x = 27,986,403.15/4,968.09
  6. Step 6: Final answer
    x = 5,633.23

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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.