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Finding the Fourth Proportional to 3,613.95, 4,986.90 and 2,042.01

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Solution

The fourth proportional to 3,613.95, 4,986.90 and 2,042.01 is: 2,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.95 : 4,986.90 = 2,042.01 : x
  2. Step 2: Convert to fraction form
    3,613.95/4,986.90 = 2,042.01/x
  3. Step 3: Cross multiply
    3,613.95x = 4,986.90 × 2,042.01
  4. Step 4: Simplify right side
    3,613.95x = 10,183,299.67
  5. Step 5: Solve for x
    x = 10,183,299.67/3,613.95
  6. Step 6: Final answer
    x = 2,817.78

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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.