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Finding the Fourth Proportional to 5,896.83, 8,135.59 and 3,657.90

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Solution

The fourth proportional to 5,896.83, 8,135.59 and 3,657.90 is: 5,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.83 : 8,135.59 = 3,657.90 : x
  2. Step 2: Convert to fraction form
    5,896.83/8,135.59 = 3,657.90/x
  3. Step 3: Cross multiply
    5,896.83x = 8,135.59 × 3,657.90
  4. Step 4: Simplify right side
    5,896.83x = 29,759,174.66
  5. Step 5: Solve for x
    x = 29,759,174.66/5,896.83
  6. Step 6: Final answer
    x = 5,046.64

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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.