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Finding the Fourth Proportional to 5,896.16, 8,138.22 and 3,656.72

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Solution

The fourth proportional to 5,896.16, 8,138.22 and 3,656.72 is: 5,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.16 : 8,138.22 = 3,656.72 : x
  2. Step 2: Convert to fraction form
    5,896.16/8,138.22 = 3,656.72/x
  3. Step 3: Cross multiply
    5,896.16x = 8,138.22 × 3,656.72
  4. Step 4: Simplify right side
    5,896.16x = 29,759,191.84
  5. Step 5: Solve for x
    x = 29,759,191.84/5,896.16
  6. Step 6: Final answer
    x = 5,047.22

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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.