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Finding the Fourth Proportional to 4,777.12, 7,168.44 and 2,003.54

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Solution

The fourth proportional to 4,777.12, 7,168.44 and 2,003.54 is: 3,006.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.12 : 7,168.44 = 2,003.54 : x
  2. Step 2: Convert to fraction form
    4,777.12/7,168.44 = 2,003.54/x
  3. Step 3: Cross multiply
    4,777.12x = 7,168.44 × 2,003.54
  4. Step 4: Simplify right side
    4,777.12x = 14,362,256.28
  5. Step 5: Solve for x
    x = 14,362,256.28/4,777.12
  6. Step 6: Final answer
    x = 3,006.47

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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.