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Finding the Fourth Proportional to 3,613.96, 4,986.42 and 2,041.84

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Solution

The fourth proportional to 3,613.96, 4,986.42 and 2,041.84 is: 2,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.96 : 4,986.42 = 2,041.84 : x
  2. Step 2: Convert to fraction form
    3,613.96/4,986.42 = 2,041.84/x
  3. Step 3: Cross multiply
    3,613.96x = 4,986.42 × 2,041.84
  4. Step 4: Simplify right side
    3,613.96x = 10,181,471.81
  5. Step 5: Solve for x
    x = 10,181,471.81/3,613.96
  6. Step 6: Final answer
    x = 2,817.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.