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Finding the Fourth Proportional to 5,284.94, 7,294.67 and 3,161.93

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Solution

The fourth proportional to 5,284.94, 7,294.67 and 3,161.93 is: 4,364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.94 : 7,294.67 = 3,161.93 : x
  2. Step 2: Convert to fraction form
    5,284.94/7,294.67 = 3,161.93/x
  3. Step 3: Cross multiply
    5,284.94x = 7,294.67 × 3,161.93
  4. Step 4: Simplify right side
    5,284.94x = 23,065,183.63
  5. Step 5: Solve for x
    x = 23,065,183.63/5,284.94
  6. Step 6: Final answer
    x = 4,364.33

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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.