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Finding the Fourth Proportional to 3,918.97, 5,913.41 and 3,767.10

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Solution

The fourth proportional to 3,918.97, 5,913.41 and 3,767.10 is: 5,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.97 : 5,913.41 = 3,767.10 : x
  2. Step 2: Convert to fraction form
    3,918.97/5,913.41 = 3,767.10/x
  3. Step 3: Cross multiply
    3,918.97x = 5,913.41 × 3,767.10
  4. Step 4: Simplify right side
    3,918.97x = 22,276,406.81
  5. Step 5: Solve for x
    x = 22,276,406.81/3,918.97
  6. Step 6: Final answer
    x = 5,684.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.