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Finding the Fourth Proportional to 5,842.66, 8,063.07 and 3,190.30

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Solution

The fourth proportional to 5,842.66, 8,063.07 and 3,190.30 is: 4,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.66 : 8,063.07 = 3,190.30 : x
  2. Step 2: Convert to fraction form
    5,842.66/8,063.07 = 3,190.30/x
  3. Step 3: Cross multiply
    5,842.66x = 8,063.07 × 3,190.30
  4. Step 4: Simplify right side
    5,842.66x = 25,723,612.22
  5. Step 5: Solve for x
    x = 25,723,612.22/5,842.66
  6. Step 6: Final answer
    x = 4,402.72

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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.