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Finding the Fourth Proportional to 5,155.85, 7,735.91 and 2,692.44

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Solution

The fourth proportional to 5,155.85, 7,735.91 and 2,692.44 is: 4,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.85 : 7,735.91 = 2,692.44 : x
  2. Step 2: Convert to fraction form
    5,155.85/7,735.91 = 2,692.44/x
  3. Step 3: Cross multiply
    5,155.85x = 7,735.91 × 2,692.44
  4. Step 4: Simplify right side
    5,155.85x = 20,828,460.06
  5. Step 5: Solve for x
    x = 20,828,460.06/5,155.85
  6. Step 6: Final answer
    x = 4,039.77

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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.