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Finding the Fourth Proportional to 5,684.36, 7,842.21 and 3,559.03

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Solution

The fourth proportional to 5,684.36, 7,842.21 and 3,559.03 is: 4,910.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.36 : 7,842.21 = 3,559.03 : x
  2. Step 2: Convert to fraction form
    5,684.36/7,842.21 = 3,559.03/x
  3. Step 3: Cross multiply
    5,684.36x = 7,842.21 × 3,559.03
  4. Step 4: Simplify right side
    5,684.36x = 27,910,660.66
  5. Step 5: Solve for x
    x = 27,910,660.66/5,684.36
  6. Step 6: Final answer
    x = 4,910.08

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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.