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Finding the Fourth Proportional to 3,542.36, 5,303.44 and 2,813

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Solution

The fourth proportional to 3,542.36, 5,303.44 and 2,813 is: 4,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.36 : 5,303.44 = 2,813 : x
  2. Step 2: Convert to fraction form
    3,542.36/5,303.44 = 2,813/x
  3. Step 3: Cross multiply
    3,542.36x = 5,303.44 × 2,813
  4. Step 4: Simplify right side
    3,542.36x = 14,918,576.72
  5. Step 5: Solve for x
    x = 14,918,576.72/3,542.36
  6. Step 6: Final answer
    x = 4,211.48

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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.