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Finding the Fourth Proportional to 4,069, 6,100.62 and 2,899

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Solution

The fourth proportional to 4,069, 6,100.62 and 2,899 is: 4,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069 : 6,100.62 = 2,899 : x
  2. Step 2: Convert to fraction form
    4,069/6,100.62 = 2,899/x
  3. Step 3: Cross multiply
    4,069x = 6,100.62 × 2,899
  4. Step 4: Simplify right side
    4,069x = 17,685,697.38
  5. Step 5: Solve for x
    x = 17,685,697.38/4,069
  6. Step 6: Final answer
    x = 4,346.45

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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.