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Finding the Fourth Proportional to 5,679.69, 7,838.40 and 3,162.43

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Solution

The fourth proportional to 5,679.69, 7,838.40 and 3,162.43 is: 4,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.69 : 7,838.40 = 3,162.43 : x
  2. Step 2: Convert to fraction form
    5,679.69/7,838.40 = 3,162.43/x
  3. Step 3: Cross multiply
    5,679.69x = 7,838.40 × 3,162.43
  4. Step 4: Simplify right side
    5,679.69x = 24,788,408.33
  5. Step 5: Solve for x
    x = 24,788,408.33/5,679.69
  6. Step 6: Final answer
    x = 4,364.40

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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.