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Finding the Fourth Proportional to 5,274.75, 7,905.14 and 2,804.25

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Solution

The fourth proportional to 5,274.75, 7,905.14 and 2,804.25 is: 4,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.75 : 7,905.14 = 2,804.25 : x
  2. Step 2: Convert to fraction form
    5,274.75/7,905.14 = 2,804.25/x
  3. Step 3: Cross multiply
    5,274.75x = 7,905.14 × 2,804.25
  4. Step 4: Simplify right side
    5,274.75x = 22,168,015.62
  5. Step 5: Solve for x
    x = 22,168,015.62/5,274.75
  6. Step 6: Final answer
    x = 4,202.66

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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.