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Finding the Fourth Proportional to 3,920.40, 5,878.71 and 2,277.42

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Solution

The fourth proportional to 3,920.40, 5,878.71 and 2,277.42 is: 3,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.40 : 5,878.71 = 2,277.42 : x
  2. Step 2: Convert to fraction form
    3,920.40/5,878.71 = 2,277.42/x
  3. Step 3: Cross multiply
    3,920.40x = 5,878.71 × 2,277.42
  4. Step 4: Simplify right side
    3,920.40x = 13,388,269.68
  5. Step 5: Solve for x
    x = 13,388,269.68/3,920.40
  6. Step 6: Final answer
    x = 3,415.03

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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.