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Finding the Fourth Proportional to 3,470.44, 5,205.66 and 1,419.88

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Solution

The fourth proportional to 3,470.44, 5,205.66 and 1,419.88 is: 2,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.44 : 5,205.66 = 1,419.88 : x
  2. Step 2: Convert to fraction form
    3,470.44/5,205.66 = 1,419.88/x
  3. Step 3: Cross multiply
    3,470.44x = 5,205.66 × 1,419.88
  4. Step 4: Simplify right side
    3,470.44x = 7,391,412.52
  5. Step 5: Solve for x
    x = 7,391,412.52/3,470.44
  6. Step 6: Final answer
    x = 2,129.82

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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.