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Finding the Fourth Proportional to 3,684.67, 5,074.98 and 3,187.33

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Solution

The fourth proportional to 3,684.67, 5,074.98 and 3,187.33 is: 4,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.67 : 5,074.98 = 3,187.33 : x
  2. Step 2: Convert to fraction form
    3,684.67/5,074.98 = 3,187.33/x
  3. Step 3: Cross multiply
    3,684.67x = 5,074.98 × 3,187.33
  4. Step 4: Simplify right side
    3,684.67x = 16,175,636.00
  5. Step 5: Solve for x
    x = 16,175,636.00/3,684.67
  6. Step 6: Final answer
    x = 4,389.98

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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.