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Finding the Fourth Proportional to 5,129.05, 7,693.96 and 1,842.18

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Solution

The fourth proportional to 5,129.05, 7,693.96 and 1,842.18 is: 2,763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.05 : 7,693.96 = 1,842.18 : x
  2. Step 2: Convert to fraction form
    5,129.05/7,693.96 = 1,842.18/x
  3. Step 3: Cross multiply
    5,129.05x = 7,693.96 × 1,842.18
  4. Step 4: Simplify right side
    5,129.05x = 14,173,659.23
  5. Step 5: Solve for x
    x = 14,173,659.23/5,129.05
  6. Step 6: Final answer
    x = 2,763.41

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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.