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Finding the Fourth Proportional to 5,241.72, 7,867.74 and 3,851.14

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Solution

The fourth proportional to 5,241.72, 7,867.74 and 3,851.14 is: 5,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.72 : 7,867.74 = 3,851.14 : x
  2. Step 2: Convert to fraction form
    5,241.72/7,867.74 = 3,851.14/x
  3. Step 3: Cross multiply
    5,241.72x = 7,867.74 × 3,851.14
  4. Step 4: Simplify right side
    5,241.72x = 30,299,768.22
  5. Step 5: Solve for x
    x = 30,299,768.22/5,241.72
  6. Step 6: Final answer
    x = 5,780.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.