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Finding the Fourth Proportional to 3,613.81, 4,987.16 and 2,041.87

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Solution

The fourth proportional to 3,613.81, 4,987.16 and 2,041.87 is: 2,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.81 : 4,987.16 = 2,041.87 : x
  2. Step 2: Convert to fraction form
    3,613.81/4,987.16 = 2,041.87/x
  3. Step 3: Cross multiply
    3,613.81x = 4,987.16 × 2,041.87
  4. Step 4: Simplify right side
    3,613.81x = 10,183,132.39
  5. Step 5: Solve for x
    x = 10,183,132.39/3,613.81
  6. Step 6: Final answer
    x = 2,817.84

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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.