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Finding the Fourth Proportional to 5,199.39, 7,172.64 and 3,074.34

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Solution

The fourth proportional to 5,199.39, 7,172.64 and 3,074.34 is: 4,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.39 : 7,172.64 = 3,074.34 : x
  2. Step 2: Convert to fraction form
    5,199.39/7,172.64 = 3,074.34/x
  3. Step 3: Cross multiply
    5,199.39x = 7,172.64 × 3,074.34
  4. Step 4: Simplify right side
    5,199.39x = 22,051,134.06
  5. Step 5: Solve for x
    x = 22,051,134.06/5,199.39
  6. Step 6: Final answer
    x = 4,241.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.