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Finding the Fourth Proportional to 4,739.88, 6,541.23 and 2,644

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Solution

The fourth proportional to 4,739.88, 6,541.23 and 2,644 is: 3,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.88 : 6,541.23 = 2,644 : x
  2. Step 2: Convert to fraction form
    4,739.88/6,541.23 = 2,644/x
  3. Step 3: Cross multiply
    4,739.88x = 6,541.23 × 2,644
  4. Step 4: Simplify right side
    4,739.88x = 17,295,012.12
  5. Step 5: Solve for x
    x = 17,295,012.12/4,739.88
  6. Step 6: Final answer
    x = 3,648.83

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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.