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Finding the Fourth Proportional to 3,918.36, 5,877.54 and 1,321.68

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Solution

The fourth proportional to 3,918.36, 5,877.54 and 1,321.68 is: 1,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.36 : 5,877.54 = 1,321.68 : x
  2. Step 2: Convert to fraction form
    3,918.36/5,877.54 = 1,321.68/x
  3. Step 3: Cross multiply
    3,918.36x = 5,877.54 × 1,321.68
  4. Step 4: Simplify right side
    3,918.36x = 7,768,227.07
  5. Step 5: Solve for x
    x = 7,768,227.07/3,918.36
  6. Step 6: Final answer
    x = 1,982.52

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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.