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Finding the Fourth Proportional to 5,257.44, 7,884.12 and 1,747.32

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Solution

The fourth proportional to 5,257.44, 7,884.12 and 1,747.32 is: 2,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.44 : 7,884.12 = 1,747.32 : x
  2. Step 2: Convert to fraction form
    5,257.44/7,884.12 = 1,747.32/x
  3. Step 3: Cross multiply
    5,257.44x = 7,884.12 × 1,747.32
  4. Step 4: Simplify right side
    5,257.44x = 13,776,080.56
  5. Step 5: Solve for x
    x = 13,776,080.56/5,257.44
  6. Step 6: Final answer
    x = 2,620.30

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1.5x scale

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.