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Finding the Fourth Proportional to 5,726.25, 7,902.62 and 3,208.56

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Solution

The fourth proportional to 5,726.25, 7,902.62 and 3,208.56 is: 4,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.25 : 7,902.62 = 3,208.56 : x
  2. Step 2: Convert to fraction form
    5,726.25/7,902.62 = 3,208.56/x
  3. Step 3: Cross multiply
    5,726.25x = 7,902.62 × 3,208.56
  4. Step 4: Simplify right side
    5,726.25x = 25,356,030.43
  5. Step 5: Solve for x
    x = 25,356,030.43/5,726.25
  6. Step 6: Final answer
    x = 4,428.03

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