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Finding the Fourth Proportional to 4,520.69, 6,782.06 and 1,747.38

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Solution

The fourth proportional to 4,520.69, 6,782.06 and 1,747.38 is: 2,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520.69 : 6,782.06 = 1,747.38 : x
  2. Step 2: Convert to fraction form
    4,520.69/6,782.06 = 1,747.38/x
  3. Step 3: Cross multiply
    4,520.69x = 6,782.06 × 1,747.38
  4. Step 4: Simplify right side
    4,520.69x = 11,850,836.00
  5. Step 5: Solve for x
    x = 11,850,836.00/4,520.69
  6. Step 6: Final answer
    x = 2,621.47

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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.