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Finding the Fourth Proportional to 3,422.88, 5,133.54 and 957.87

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Solution

The fourth proportional to 3,422.88, 5,133.54 and 957.87 is: 1,436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.88 : 5,133.54 = 957.87 : x
  2. Step 2: Convert to fraction form
    3,422.88/5,133.54 = 957.87/x
  3. Step 3: Cross multiply
    3,422.88x = 5,133.54 × 957.87
  4. Step 4: Simplify right side
    3,422.88x = 4,917,272.00
  5. Step 5: Solve for x
    x = 4,917,272.00/3,422.88
  6. Step 6: Final answer
    x = 1,436.59

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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.