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Finding the Fourth Proportional to 3,613.84, 4,987.02 and 2,041.96

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Solution

The fourth proportional to 3,613.84, 4,987.02 and 2,041.96 is: 2,817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.84 : 4,987.02 = 2,041.96 : x
  2. Step 2: Convert to fraction form
    3,613.84/4,987.02 = 2,041.96/x
  3. Step 3: Cross multiply
    3,613.84x = 4,987.02 × 2,041.96
  4. Step 4: Simplify right side
    3,613.84x = 10,183,295.36
  5. Step 5: Solve for x
    x = 10,183,295.36/3,613.84
  6. Step 6: Final answer
    x = 2,817.86

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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.