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Finding the Fourth Proportional to 5,102.37, 7,650.48 and 2,394.54

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Solution

The fourth proportional to 5,102.37, 7,650.48 and 2,394.54 is: 3,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.37 : 7,650.48 = 2,394.54 : x
  2. Step 2: Convert to fraction form
    5,102.37/7,650.48 = 2,394.54/x
  3. Step 3: Cross multiply
    5,102.37x = 7,650.48 × 2,394.54
  4. Step 4: Simplify right side
    5,102.37x = 18,319,380.38
  5. Step 5: Solve for x
    x = 18,319,380.38/5,102.37
  6. Step 6: Final answer
    x = 3,590.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.