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Finding the Fourth Proportional to 5,842.34, 8,062.08 and 3,189.21

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Solution

The fourth proportional to 5,842.34, 8,062.08 and 3,189.21 is: 4,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.34 : 8,062.08 = 3,189.21 : x
  2. Step 2: Convert to fraction form
    5,842.34/8,062.08 = 3,189.21/x
  3. Step 3: Cross multiply
    5,842.34x = 8,062.08 × 3,189.21
  4. Step 4: Simplify right side
    5,842.34x = 25,711,666.16
  5. Step 5: Solve for x
    x = 25,711,666.16/5,842.34
  6. Step 6: Final answer
    x = 4,400.92

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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.