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Finding the Fourth Proportional to 4,464.86, 6,692.42 and 3,000.38

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Solution

The fourth proportional to 4,464.86, 6,692.42 and 3,000.38 is: 4,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.86 : 6,692.42 = 3,000.38 : x
  2. Step 2: Convert to fraction form
    4,464.86/6,692.42 = 3,000.38/x
  3. Step 3: Cross multiply
    4,464.86x = 6,692.42 × 3,000.38
  4. Step 4: Simplify right side
    4,464.86x = 20,079,777.16
  5. Step 5: Solve for x
    x = 20,079,777.16/4,464.86
  6. Step 6: Final answer
    x = 4,497.30

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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.