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Finding the Fourth Proportional to 4,782.69, 6,583.73 and 4,149.49

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Solution

The fourth proportional to 4,782.69, 6,583.73 and 4,149.49 is: 5,712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.69 : 6,583.73 = 4,149.49 : x
  2. Step 2: Convert to fraction form
    4,782.69/6,583.73 = 4,149.49/x
  3. Step 3: Cross multiply
    4,782.69x = 6,583.73 × 4,149.49
  4. Step 4: Simplify right side
    4,782.69x = 27,319,121.80
  5. Step 5: Solve for x
    x = 27,319,121.80/4,782.69
  6. Step 6: Final answer
    x = 5,712.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.