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Finding the Fourth Proportional to 4,465.64, 6,692.67 and 3,845.18

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Solution

The fourth proportional to 4,465.64, 6,692.67 and 3,845.18 is: 5,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.64 : 6,692.67 = 3,845.18 : x
  2. Step 2: Convert to fraction form
    4,465.64/6,692.67 = 3,845.18/x
  3. Step 3: Cross multiply
    4,465.64x = 6,692.67 × 3,845.18
  4. Step 4: Simplify right side
    4,465.64x = 25,734,487.37
  5. Step 5: Solve for x
    x = 25,734,487.37/4,465.64
  6. Step 6: Final answer
    x = 5,762.78

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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.