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Finding the Fourth Proportional to 5,704.08, 7,866.84 and 4,523.28

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Solution

The fourth proportional to 5,704.08, 7,866.84 and 4,523.28 is: 6,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.08 : 7,866.84 = 4,523.28 : x
  2. Step 2: Convert to fraction form
    5,704.08/7,866.84 = 4,523.28/x
  3. Step 3: Cross multiply
    5,704.08x = 7,866.84 × 4,523.28
  4. Step 4: Simplify right side
    5,704.08x = 35,583,920.04
  5. Step 5: Solve for x
    x = 35,583,920.04/5,704.08
  6. Step 6: Final answer
    x = 6,238.33

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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.