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Finding the Fourth Proportional to 3,503.55, 5,255.49 and 1,422.48

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Solution

The fourth proportional to 3,503.55, 5,255.49 and 1,422.48 is: 2,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.55 : 5,255.49 = 1,422.48 : x
  2. Step 2: Convert to fraction form
    3,503.55/5,255.49 = 1,422.48/x
  3. Step 3: Cross multiply
    3,503.55x = 5,255.49 × 1,422.48
  4. Step 4: Simplify right side
    3,503.55x = 7,475,829.42
  5. Step 5: Solve for x
    x = 7,475,829.42/3,503.55
  6. Step 6: Final answer
    x = 2,133.79

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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.