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Finding the Fourth Proportional to 3,527.96, 5,268.11 and 3,066.80

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Solution

The fourth proportional to 3,527.96, 5,268.11 and 3,066.80 is: 4,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.96 : 5,268.11 = 3,066.80 : x
  2. Step 2: Convert to fraction form
    3,527.96/5,268.11 = 3,066.80/x
  3. Step 3: Cross multiply
    3,527.96x = 5,268.11 × 3,066.80
  4. Step 4: Simplify right side
    3,527.96x = 16,156,198.07
  5. Step 5: Solve for x
    x = 16,156,198.07/3,527.96
  6. Step 6: Final answer
    x = 4,579.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.