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Finding the Fourth Proportional to 4,311.07, 6,477.54 and 2,751.82

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Solution

The fourth proportional to 4,311.07, 6,477.54 and 2,751.82 is: 4,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.07 : 6,477.54 = 2,751.82 : x
  2. Step 2: Convert to fraction form
    4,311.07/6,477.54 = 2,751.82/x
  3. Step 3: Cross multiply
    4,311.07x = 6,477.54 × 2,751.82
  4. Step 4: Simplify right side
    4,311.07x = 17,825,024.12
  5. Step 5: Solve for x
    x = 17,825,024.12/4,311.07
  6. Step 6: Final answer
    x = 4,134.71

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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.