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Finding the Fourth Proportional to 5,674.97, 7,830.33 and 3,316.66

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Solution

The fourth proportional to 5,674.97, 7,830.33 and 3,316.66 is: 4,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.97 : 7,830.33 = 3,316.66 : x
  2. Step 2: Convert to fraction form
    5,674.97/7,830.33 = 3,316.66/x
  3. Step 3: Cross multiply
    5,674.97x = 7,830.33 × 3,316.66
  4. Step 4: Simplify right side
    5,674.97x = 25,970,542.30
  5. Step 5: Solve for x
    x = 25,970,542.30/5,674.97
  6. Step 6: Final answer
    x = 4,576.33

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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.