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Finding the Fourth Proportional to 5,047.74, 6,963.03 and 3,181.50

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Solution

The fourth proportional to 5,047.74, 6,963.03 and 3,181.50 is: 4,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.74 : 6,963.03 = 3,181.50 : x
  2. Step 2: Convert to fraction form
    5,047.74/6,963.03 = 3,181.50/x
  3. Step 3: Cross multiply
    5,047.74x = 6,963.03 × 3,181.50
  4. Step 4: Simplify right side
    5,047.74x = 22,152,879.95
  5. Step 5: Solve for x
    x = 22,152,879.95/5,047.74
  6. Step 6: Final answer
    x = 4,388.67

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