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Finding the Fourth Proportional to 3,548.98, 5,322.84 and 952.12

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Solution

The fourth proportional to 3,548.98, 5,322.84 and 952.12 is: 1,428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.98 : 5,322.84 = 952.12 : x
  2. Step 2: Convert to fraction form
    3,548.98/5,322.84 = 952.12/x
  3. Step 3: Cross multiply
    3,548.98x = 5,322.84 × 952.12
  4. Step 4: Simplify right side
    3,548.98x = 5,067,982.42
  5. Step 5: Solve for x
    x = 5,067,982.42/3,548.98
  6. Step 6: Final answer
    x = 1,428.01

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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.