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Finding the Fourth Proportional to 4,561.68, 6,294.96 and 2,796.24

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Solution

The fourth proportional to 4,561.68, 6,294.96 and 2,796.24 is: 3,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.68 : 6,294.96 = 2,796.24 : x
  2. Step 2: Convert to fraction form
    4,561.68/6,294.96 = 2,796.24/x
  3. Step 3: Cross multiply
    4,561.68x = 6,294.96 × 2,796.24
  4. Step 4: Simplify right side
    4,561.68x = 17,602,218.95
  5. Step 5: Solve for x
    x = 17,602,218.95/4,561.68
  6. Step 6: Final answer
    x = 3,858.71

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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.