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Finding the Fourth Proportional to 3,523.54, 5,282.88 and 1,548.22

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Solution

The fourth proportional to 3,523.54, 5,282.88 and 1,548.22 is: 2,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.54 : 5,282.88 = 1,548.22 : x
  2. Step 2: Convert to fraction form
    3,523.54/5,282.88 = 1,548.22/x
  3. Step 3: Cross multiply
    3,523.54x = 5,282.88 × 1,548.22
  4. Step 4: Simplify right side
    3,523.54x = 8,179,060.47
  5. Step 5: Solve for x
    x = 8,179,060.47/3,523.54
  6. Step 6: Final answer
    x = 2,321.26

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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.