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Finding the Fourth Proportional to 5,674.51, 8,529.99 and 5,268.70

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Solution

The fourth proportional to 5,674.51, 8,529.99 and 5,268.70 is: 7,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.51 : 8,529.99 = 5,268.70 : x
  2. Step 2: Convert to fraction form
    5,674.51/8,529.99 = 5,268.70/x
  3. Step 3: Cross multiply
    5,674.51x = 8,529.99 × 5,268.70
  4. Step 4: Simplify right side
    5,674.51x = 44,941,958.31
  5. Step 5: Solve for x
    x = 44,941,958.31/5,674.51
  6. Step 6: Final answer
    x = 7,919.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.