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Finding the Fourth Proportional to 3,898.44, 5,847.66 and 1,301.36

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Solution

The fourth proportional to 3,898.44, 5,847.66 and 1,301.36 is: 1,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.44 : 5,847.66 = 1,301.36 : x
  2. Step 2: Convert to fraction form
    3,898.44/5,847.66 = 1,301.36/x
  3. Step 3: Cross multiply
    3,898.44x = 5,847.66 × 1,301.36
  4. Step 4: Simplify right side
    3,898.44x = 7,609,881.58
  5. Step 5: Solve for x
    x = 7,609,881.58/3,898.44
  6. Step 6: Final answer
    x = 1,952.03

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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.