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Finding the Fourth Proportional to 3,348.32, 5,022.34 and 883.14

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Solution

The fourth proportional to 3,348.32, 5,022.34 and 883.14 is: 1,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.32 : 5,022.34 = 883.14 : x
  2. Step 2: Convert to fraction form
    3,348.32/5,022.34 = 883.14/x
  3. Step 3: Cross multiply
    3,348.32x = 5,022.34 × 883.14
  4. Step 4: Simplify right side
    3,348.32x = 4,435,426.69
  5. Step 5: Solve for x
    x = 4,435,426.69/3,348.32
  6. Step 6: Final answer
    x = 1,324.67

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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.