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Finding the Fourth Proportional to 4,692.74, 7,034.46 and 3,025.85

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Solution

The fourth proportional to 4,692.74, 7,034.46 and 3,025.85 is: 4,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.74 : 7,034.46 = 3,025.85 : x
  2. Step 2: Convert to fraction form
    4,692.74/7,034.46 = 3,025.85/x
  3. Step 3: Cross multiply
    4,692.74x = 7,034.46 × 3,025.85
  4. Step 4: Simplify right side
    4,692.74x = 21,285,185.62
  5. Step 5: Solve for x
    x = 21,285,185.62/4,692.74
  6. Step 6: Final answer
    x = 4,535.77

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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.