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Finding the Fourth Proportional to 4,777.68, 7,165.12 and 2,004.27

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Solution

The fourth proportional to 4,777.68, 7,165.12 and 2,004.27 is: 3,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.68 : 7,165.12 = 2,004.27 : x
  2. Step 2: Convert to fraction form
    4,777.68/7,165.12 = 2,004.27/x
  3. Step 3: Cross multiply
    4,777.68x = 7,165.12 × 2,004.27
  4. Step 4: Simplify right side
    4,777.68x = 14,360,835.06
  5. Step 5: Solve for x
    x = 14,360,835.06/4,777.68
  6. Step 6: Final answer
    x = 3,005.82

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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.