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Finding the Fourth Proportional to 3,684.42, 5,085.81 and 3,290.76

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Solution

The fourth proportional to 3,684.42, 5,085.81 and 3,290.76 is: 4,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.42 : 5,085.81 = 3,290.76 : x
  2. Step 2: Convert to fraction form
    3,684.42/5,085.81 = 3,290.76/x
  3. Step 3: Cross multiply
    3,684.42x = 5,085.81 × 3,290.76
  4. Step 4: Simplify right side
    3,684.42x = 16,736,180.12
  5. Step 5: Solve for x
    x = 16,736,180.12/3,684.42
  6. Step 6: Final answer
    x = 4,542.42

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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.