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Finding the Fourth Proportional to 4,316.44, 6,474.12 and 1,394.44

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Solution

The fourth proportional to 4,316.44, 6,474.12 and 1,394.44 is: 2,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.44 : 6,474.12 = 1,394.44 : x
  2. Step 2: Convert to fraction form
    4,316.44/6,474.12 = 1,394.44/x
  3. Step 3: Cross multiply
    4,316.44x = 6,474.12 × 1,394.44
  4. Step 4: Simplify right side
    4,316.44x = 9,027,771.89
  5. Step 5: Solve for x
    x = 9,027,771.89/4,316.44
  6. Step 6: Final answer
    x = 2,091.49

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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.