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Finding the Fourth Proportional to 4,605.30, 6,311.04 and 4,162.44

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Solution

The fourth proportional to 4,605.30, 6,311.04 and 4,162.44 is: 5,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.30 : 6,311.04 = 4,162.44 : x
  2. Step 2: Convert to fraction form
    4,605.30/6,311.04 = 4,162.44/x
  3. Step 3: Cross multiply
    4,605.30x = 6,311.04 × 4,162.44
  4. Step 4: Simplify right side
    4,605.30x = 26,269,325.34
  5. Step 5: Solve for x
    x = 26,269,325.34/4,605.30
  6. Step 6: Final answer
    x = 5,704.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.