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Finding the Fourth Proportional to 3,925.82, 5,889 and 1,328.78

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Solution

The fourth proportional to 3,925.82, 5,889 and 1,328.78 is: 1,993.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.82 : 5,889 = 1,328.78 : x
  2. Step 2: Convert to fraction form
    3,925.82/5,889 = 1,328.78/x
  3. Step 3: Cross multiply
    3,925.82x = 5,889 × 1,328.78
  4. Step 4: Simplify right side
    3,925.82x = 7,825,185.42
  5. Step 5: Solve for x
    x = 7,825,185.42/3,925.82
  6. Step 6: Final answer
    x = 1,993.26

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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.