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Finding the Fourth Proportional to 5,044.68, 6,968.33 and 4,208.15

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Solution

The fourth proportional to 5,044.68, 6,968.33 and 4,208.15 is: 5,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.68 : 6,968.33 = 4,208.15 : x
  2. Step 2: Convert to fraction form
    5,044.68/6,968.33 = 4,208.15/x
  3. Step 3: Cross multiply
    5,044.68x = 6,968.33 × 4,208.15
  4. Step 4: Simplify right side
    5,044.68x = 29,323,790.05
  5. Step 5: Solve for x
    x = 29,323,790.05/5,044.68
  6. Step 6: Final answer
    x = 5,812.81

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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.