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Finding the Fourth Proportional to 4,776.06, 7,164.44 and 1,999.94

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Solution

The fourth proportional to 4,776.06, 7,164.44 and 1,999.94 is: 3,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.06 : 7,164.44 = 1,999.94 : x
  2. Step 2: Convert to fraction form
    4,776.06/7,164.44 = 1,999.94/x
  3. Step 3: Cross multiply
    4,776.06x = 7,164.44 × 1,999.94
  4. Step 4: Simplify right side
    4,776.06x = 14,328,450.13
  5. Step 5: Solve for x
    x = 14,328,450.13/4,776.06
  6. Step 6: Final answer
    x = 3,000.06

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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.