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Finding the Fourth Proportional to 5,896.34, 8,133.57 and 3,684.50

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Solution

The fourth proportional to 5,896.34, 8,133.57 and 3,684.50 is: 5,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.34 : 8,133.57 = 3,684.50 : x
  2. Step 2: Convert to fraction form
    5,896.34/8,133.57 = 3,684.50/x
  3. Step 3: Cross multiply
    5,896.34x = 8,133.57 × 3,684.50
  4. Step 4: Simplify right side
    5,896.34x = 29,968,138.67
  5. Step 5: Solve for x
    x = 29,968,138.67/5,896.34
  6. Step 6: Final answer
    x = 5,082.50

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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.