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Finding the Fourth Proportional to 4,954.26, 7,430.12 and 1,667.28

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Solution

The fourth proportional to 4,954.26, 7,430.12 and 1,667.28 is: 2,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.26 : 7,430.12 = 1,667.28 : x
  2. Step 2: Convert to fraction form
    4,954.26/7,430.12 = 1,667.28/x
  3. Step 3: Cross multiply
    4,954.26x = 7,430.12 × 1,667.28
  4. Step 4: Simplify right side
    4,954.26x = 12,388,090.47
  5. Step 5: Solve for x
    x = 12,388,090.47/4,954.26
  6. Step 6: Final answer
    x = 2,500.49

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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.