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Finding the Fourth Proportional to 3,794.80, 5,692.80 and 1,454.72

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Solution

The fourth proportional to 3,794.80, 5,692.80 and 1,454.72 is: 2,182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.80 : 5,692.80 = 1,454.72 : x
  2. Step 2: Convert to fraction form
    3,794.80/5,692.80 = 1,454.72/x
  3. Step 3: Cross multiply
    3,794.80x = 5,692.80 × 1,454.72
  4. Step 4: Simplify right side
    3,794.80x = 8,281,430.02
  5. Step 5: Solve for x
    x = 8,281,430.02/3,794.80
  6. Step 6: Final answer
    x = 2,182.31

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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.