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Finding the Fourth Proportional to 3,879.28, 5,812.62 and 3,735.46

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Solution

The fourth proportional to 3,879.28, 5,812.62 and 3,735.46 is: 5,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.28 : 5,812.62 = 3,735.46 : x
  2. Step 2: Convert to fraction form
    3,879.28/5,812.62 = 3,735.46/x
  3. Step 3: Cross multiply
    3,879.28x = 5,812.62 × 3,735.46
  4. Step 4: Simplify right side
    3,879.28x = 21,712,809.51
  5. Step 5: Solve for x
    x = 21,712,809.51/3,879.28
  6. Step 6: Final answer
    x = 5,597.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.