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Finding the Fourth Proportional to 3,977.04, 5,977.53 and 3,288.12

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Solution

The fourth proportional to 3,977.04, 5,977.53 and 3,288.12 is: 4,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.04 : 5,977.53 = 3,288.12 : x
  2. Step 2: Convert to fraction form
    3,977.04/5,977.53 = 3,288.12/x
  3. Step 3: Cross multiply
    3,977.04x = 5,977.53 × 3,288.12
  4. Step 4: Simplify right side
    3,977.04x = 19,654,835.94
  5. Step 5: Solve for x
    x = 19,654,835.94/3,977.04
  6. Step 6: Final answer
    x = 4,942.08

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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.