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Finding the Fourth Proportional to 5,726.47, 7,902.08 and 3,208.39

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Solution

The fourth proportional to 5,726.47, 7,902.08 and 3,208.39 is: 4,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.47 : 7,902.08 = 3,208.39 : x
  2. Step 2: Convert to fraction form
    5,726.47/7,902.08 = 3,208.39/x
  3. Step 3: Cross multiply
    5,726.47x = 7,902.08 × 3,208.39
  4. Step 4: Simplify right side
    5,726.47x = 25,352,954.45
  5. Step 5: Solve for x
    x = 25,352,954.45/5,726.47
  6. Step 6: Final answer
    x = 4,427.33

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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.