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Finding the Fourth Proportional to 3,243.96, 4,483.50 and 3,121.08

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Solution

The fourth proportional to 3,243.96, 4,483.50 and 3,121.08 is: 4,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.96 : 4,483.50 = 3,121.08 : x
  2. Step 2: Convert to fraction form
    3,243.96/4,483.50 = 3,121.08/x
  3. Step 3: Cross multiply
    3,243.96x = 4,483.50 × 3,121.08
  4. Step 4: Simplify right side
    3,243.96x = 13,993,362.18
  5. Step 5: Solve for x
    x = 13,993,362.18/3,243.96
  6. Step 6: Final answer
    x = 4,313.67

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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.