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Finding the Fourth Proportional to 3,530.88, 5,295.31 and 1,422.50

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Solution

The fourth proportional to 3,530.88, 5,295.31 and 1,422.50 is: 2,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.88 : 5,295.31 = 1,422.50 : x
  2. Step 2: Convert to fraction form
    3,530.88/5,295.31 = 1,422.50/x
  3. Step 3: Cross multiply
    3,530.88x = 5,295.31 × 1,422.50
  4. Step 4: Simplify right side
    3,530.88x = 7,532,571.36
  5. Step 5: Solve for x
    x = 7,532,571.36/3,530.88
  6. Step 6: Final answer
    x = 2,133.34

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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.