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Finding the Fourth Proportional to 3,825.51, 5,740.29 and 3,308.87

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Solution

The fourth proportional to 3,825.51, 5,740.29 and 3,308.87 is: 4,965.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.51 : 5,740.29 = 3,308.87 : x
  2. Step 2: Convert to fraction form
    3,825.51/5,740.29 = 3,308.87/x
  3. Step 3: Cross multiply
    3,825.51x = 5,740.29 × 3,308.87
  4. Step 4: Simplify right side
    3,825.51x = 18,993,873.37
  5. Step 5: Solve for x
    x = 18,993,873.37/3,825.51
  6. Step 6: Final answer
    x = 4,965.06

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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.