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Finding the Fourth Proportional to 5,421.67, 7,480.39 and 3,405.31

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Solution

The fourth proportional to 5,421.67, 7,480.39 and 3,405.31 is: 4,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.67 : 7,480.39 = 3,405.31 : x
  2. Step 2: Convert to fraction form
    5,421.67/7,480.39 = 3,405.31/x
  3. Step 3: Cross multiply
    5,421.67x = 7,480.39 × 3,405.31
  4. Step 4: Simplify right side
    5,421.67x = 25,473,046.87
  5. Step 5: Solve for x
    x = 25,473,046.87/5,421.67
  6. Step 6: Final answer
    x = 4,698.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.