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Finding the Fourth Proportional to 5,896.56, 8,135.64 and 3,657.36

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Solution

The fourth proportional to 5,896.56, 8,135.64 and 3,657.36 is: 5,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.56 : 8,135.64 = 3,657.36 : x
  2. Step 2: Convert to fraction form
    5,896.56/8,135.64 = 3,657.36/x
  3. Step 3: Cross multiply
    5,896.56x = 8,135.64 × 3,657.36
  4. Step 4: Simplify right side
    5,896.56x = 29,754,964.31
  5. Step 5: Solve for x
    x = 29,754,964.31/5,896.56
  6. Step 6: Final answer
    x = 5,046.16

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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.