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Finding the Fourth Proportional to 5,209.08, 7,814.40 and 1,745.52

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Solution

The fourth proportional to 5,209.08, 7,814.40 and 1,745.52 is: 2,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.08 : 7,814.40 = 1,745.52 : x
  2. Step 2: Convert to fraction form
    5,209.08/7,814.40 = 1,745.52/x
  3. Step 3: Cross multiply
    5,209.08x = 7,814.40 × 1,745.52
  4. Step 4: Simplify right side
    5,209.08x = 13,640,191.49
  5. Step 5: Solve for x
    x = 13,640,191.49/5,209.08
  6. Step 6: Final answer
    x = 2,618.54

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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.