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Finding the Fourth Proportional to 4,796.71, 7,190.44 and 2,457.82

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Solution

The fourth proportional to 4,796.71, 7,190.44 and 2,457.82 is: 3,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.71 : 7,190.44 = 2,457.82 : x
  2. Step 2: Convert to fraction form
    4,796.71/7,190.44 = 2,457.82/x
  3. Step 3: Cross multiply
    4,796.71x = 7,190.44 × 2,457.82
  4. Step 4: Simplify right side
    4,796.71x = 17,672,783.12
  5. Step 5: Solve for x
    x = 17,672,783.12/4,796.71
  6. Step 6: Final answer
    x = 3,684.36

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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.