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Finding the Fourth Proportional to 3,394.73, 5,092.50 and 1,203.02

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Solution

The fourth proportional to 3,394.73, 5,092.50 and 1,203.02 is: 1,804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.73 : 5,092.50 = 1,203.02 : x
  2. Step 2: Convert to fraction form
    3,394.73/5,092.50 = 1,203.02/x
  3. Step 3: Cross multiply
    3,394.73x = 5,092.50 × 1,203.02
  4. Step 4: Simplify right side
    3,394.73x = 6,126,379.35
  5. Step 5: Solve for x
    x = 6,126,379.35/3,394.73
  6. Step 6: Final answer
    x = 1,804.67

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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.