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Finding the Fourth Proportional to 3,348.10, 5,022.08 and 882.94

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Solution

The fourth proportional to 3,348.10, 5,022.08 and 882.94 is: 1,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.10 : 5,022.08 = 882.94 : x
  2. Step 2: Convert to fraction form
    3,348.10/5,022.08 = 882.94/x
  3. Step 3: Cross multiply
    3,348.10x = 5,022.08 × 882.94
  4. Step 4: Simplify right side
    3,348.10x = 4,434,195.32
  5. Step 5: Solve for x
    x = 4,434,195.32/3,348.10
  6. Step 6: Final answer
    x = 1,324.39

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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.