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Finding the Fourth Proportional to 5,975.16, 8,249.40 and 3,851.43

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Solution

The fourth proportional to 5,975.16, 8,249.40 and 3,851.43 is: 5,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.16 : 8,249.40 = 3,851.43 : x
  2. Step 2: Convert to fraction form
    5,975.16/8,249.40 = 3,851.43/x
  3. Step 3: Cross multiply
    5,975.16x = 8,249.40 × 3,851.43
  4. Step 4: Simplify right side
    5,975.16x = 31,771,986.64
  5. Step 5: Solve for x
    x = 31,771,986.64/5,975.16
  6. Step 6: Final answer
    x = 5,317.34

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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.