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Finding the Fourth Proportional to 5,896.26, 8,129.70 and 3,537.54

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Solution

The fourth proportional to 5,896.26, 8,129.70 and 3,537.54 is: 4,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.26 : 8,129.70 = 3,537.54 : x
  2. Step 2: Convert to fraction form
    5,896.26/8,129.70 = 3,537.54/x
  3. Step 3: Cross multiply
    5,896.26x = 8,129.70 × 3,537.54
  4. Step 4: Simplify right side
    5,896.26x = 28,759,138.94
  5. Step 5: Solve for x
    x = 28,759,138.94/5,896.26
  6. Step 6: Final answer
    x = 4,877.52

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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.