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Finding the Fourth Proportional to 4,078.14, 5,626.22 and 2,503.50

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Solution

The fourth proportional to 4,078.14, 5,626.22 and 2,503.50 is: 3,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.14 : 5,626.22 = 2,503.50 : x
  2. Step 2: Convert to fraction form
    4,078.14/5,626.22 = 2,503.50/x
  3. Step 3: Cross multiply
    4,078.14x = 5,626.22 × 2,503.50
  4. Step 4: Simplify right side
    4,078.14x = 14,085,241.77
  5. Step 5: Solve for x
    x = 14,085,241.77/4,078.14
  6. Step 6: Final answer
    x = 3,453.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.