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Finding the Fourth Proportional to 3,918.39, 5,878.13 and 1,322.07

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Solution

The fourth proportional to 3,918.39, 5,878.13 and 1,322.07 is: 1,983.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.39 : 5,878.13 = 1,322.07 : x
  2. Step 2: Convert to fraction form
    3,918.39/5,878.13 = 1,322.07/x
  3. Step 3: Cross multiply
    3,918.39x = 5,878.13 × 1,322.07
  4. Step 4: Simplify right side
    3,918.39x = 7,771,299.33
  5. Step 5: Solve for x
    x = 7,771,299.33/3,918.39
  6. Step 6: Final answer
    x = 1,983.29

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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.