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Finding the Fourth Proportional to 3,902.79, 5,825.60 and 3,386.37

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Solution

The fourth proportional to 3,902.79, 5,825.60 and 3,386.37 is: 5,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.79 : 5,825.60 = 3,386.37 : x
  2. Step 2: Convert to fraction form
    3,902.79/5,825.60 = 3,386.37/x
  3. Step 3: Cross multiply
    3,902.79x = 5,825.60 × 3,386.37
  4. Step 4: Simplify right side
    3,902.79x = 19,727,645.54
  5. Step 5: Solve for x
    x = 19,727,645.54/3,902.79
  6. Step 6: Final answer
    x = 5,054.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.