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Finding the Fourth Proportional to 5,642.82, 7,790.94 and 3,519.18

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Solution

The fourth proportional to 5,642.82, 7,790.94 and 3,519.18 is: 4,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.82 : 7,790.94 = 3,519.18 : x
  2. Step 2: Convert to fraction form
    5,642.82/7,790.94 = 3,519.18/x
  3. Step 3: Cross multiply
    5,642.82x = 7,790.94 × 3,519.18
  4. Step 4: Simplify right side
    5,642.82x = 27,417,720.23
  5. Step 5: Solve for x
    x = 27,417,720.23/5,642.82
  6. Step 6: Final answer
    x = 4,858.87

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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.