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Finding the Fourth Proportional to 4,967.67, 7,447.05 and 2,743.14

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Solution

The fourth proportional to 4,967.67, 7,447.05 and 2,743.14 is: 4,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.67 : 7,447.05 = 2,743.14 : x
  2. Step 2: Convert to fraction form
    4,967.67/7,447.05 = 2,743.14/x
  3. Step 3: Cross multiply
    4,967.67x = 7,447.05 × 2,743.14
  4. Step 4: Simplify right side
    4,967.67x = 20,428,300.74
  5. Step 5: Solve for x
    x = 20,428,300.74/4,967.67
  6. Step 6: Final answer
    x = 4,112.25

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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.