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Finding the Fourth Proportional to 5,693.98, 8,538.23 and 3,228.14

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Solution

The fourth proportional to 5,693.98, 8,538.23 and 3,228.14 is: 4,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.98 : 8,538.23 = 3,228.14 : x
  2. Step 2: Convert to fraction form
    5,693.98/8,538.23 = 3,228.14/x
  3. Step 3: Cross multiply
    5,693.98x = 8,538.23 × 3,228.14
  4. Step 4: Simplify right side
    5,693.98x = 27,562,542.96
  5. Step 5: Solve for x
    x = 27,562,542.96/5,693.98
  6. Step 6: Final answer
    x = 4,840.65

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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.