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Finding the Fourth Proportional to 5,842.04, 8,062.01 and 3,189.45

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Solution

The fourth proportional to 5,842.04, 8,062.01 and 3,189.45 is: 4,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.04 : 8,062.01 = 3,189.45 : x
  2. Step 2: Convert to fraction form
    5,842.04/8,062.01 = 3,189.45/x
  3. Step 3: Cross multiply
    5,842.04x = 8,062.01 × 3,189.45
  4. Step 4: Simplify right side
    5,842.04x = 25,713,377.79
  5. Step 5: Solve for x
    x = 25,713,377.79/5,842.04
  6. Step 6: Final answer
    x = 4,401.44

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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.