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Finding the Fourth Proportional to 4,796.64, 7,189.20 and 1,716.96

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Solution

The fourth proportional to 4,796.64, 7,189.20 and 1,716.96 is: 2,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.64 : 7,189.20 = 1,716.96 : x
  2. Step 2: Convert to fraction form
    4,796.64/7,189.20 = 1,716.96/x
  3. Step 3: Cross multiply
    4,796.64x = 7,189.20 × 1,716.96
  4. Step 4: Simplify right side
    4,796.64x = 12,343,568.83
  5. Step 5: Solve for x
    x = 12,343,568.83/4,796.64
  6. Step 6: Final answer
    x = 2,573.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.