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Finding the Fourth Proportional to 6,403.98, 8,838.90 and 4,161.96

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Solution

The fourth proportional to 6,403.98, 8,838.90 and 4,161.96 is: 5,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.98 : 8,838.90 = 4,161.96 : x
  2. Step 2: Convert to fraction form
    6,403.98/8,838.90 = 4,161.96/x
  3. Step 3: Cross multiply
    6,403.98x = 8,838.90 × 4,161.96
  4. Step 4: Simplify right side
    6,403.98x = 36,787,148.24
  5. Step 5: Solve for x
    x = 36,787,148.24/6,403.98
  6. Step 6: Final answer
    x = 5,744.42

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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.