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Finding the Fourth Proportional to 3,493.44, 5,239.47 and 1,713.74

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Solution

The fourth proportional to 3,493.44, 5,239.47 and 1,713.74 is: 2,570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.44 : 5,239.47 = 1,713.74 : x
  2. Step 2: Convert to fraction form
    3,493.44/5,239.47 = 1,713.74/x
  3. Step 3: Cross multiply
    3,493.44x = 5,239.47 × 1,713.74
  4. Step 4: Simplify right side
    3,493.44x = 8,979,063.12
  5. Step 5: Solve for x
    x = 8,979,063.12/3,493.44
  6. Step 6: Final answer
    x = 2,570.26

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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.