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Finding the Fourth Proportional to 3,422.47, 5,133.63 and 957.24

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Solution

The fourth proportional to 3,422.47, 5,133.63 and 957.24 is: 1,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.47 : 5,133.63 = 957.24 : x
  2. Step 2: Convert to fraction form
    3,422.47/5,133.63 = 957.24/x
  3. Step 3: Cross multiply
    3,422.47x = 5,133.63 × 957.24
  4. Step 4: Simplify right side
    3,422.47x = 4,914,115.98
  5. Step 5: Solve for x
    x = 4,914,115.98/3,422.47
  6. Step 6: Final answer
    x = 1,435.84

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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.