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Finding the Fourth Proportional to 3,926.49, 5,889.60 and 1,004.82

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Solution

The fourth proportional to 3,926.49, 5,889.60 and 1,004.82 is: 1,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.49 : 5,889.60 = 1,004.82 : x
  2. Step 2: Convert to fraction form
    3,926.49/5,889.60 = 1,004.82/x
  3. Step 3: Cross multiply
    3,926.49x = 5,889.60 × 1,004.82
  4. Step 4: Simplify right side
    3,926.49x = 5,917,987.87
  5. Step 5: Solve for x
    x = 5,917,987.87/3,926.49
  6. Step 6: Final answer
    x = 1,507.20

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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.