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Finding the Fourth Proportional to 6,189.25, 8,542.53 and 4,842.19

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Solution

The fourth proportional to 6,189.25, 8,542.53 and 4,842.19 is: 6,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.25 : 8,542.53 = 4,842.19 : x
  2. Step 2: Convert to fraction form
    6,189.25/8,542.53 = 4,842.19/x
  3. Step 3: Cross multiply
    6,189.25x = 8,542.53 × 4,842.19
  4. Step 4: Simplify right side
    6,189.25x = 41,364,553.34
  5. Step 5: Solve for x
    x = 41,364,553.34/6,189.25
  6. Step 6: Final answer
    x = 6,683.29

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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.