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Finding the Fourth Proportional to 5,796.56, 8,000.64 and 3,440.07

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Solution

The fourth proportional to 5,796.56, 8,000.64 and 3,440.07 is: 4,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.56 : 8,000.64 = 3,440.07 : x
  2. Step 2: Convert to fraction form
    5,796.56/8,000.64 = 3,440.07/x
  3. Step 3: Cross multiply
    5,796.56x = 8,000.64 × 3,440.07
  4. Step 4: Simplify right side
    5,796.56x = 27,522,761.64
  5. Step 5: Solve for x
    x = 27,522,761.64/5,796.56
  6. Step 6: Final answer
    x = 4,748.12

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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.