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Finding the Fourth Proportional to 4,739.74, 6,541.64 and 2,751.96

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Solution

The fourth proportional to 4,739.74, 6,541.64 and 2,751.96 is: 3,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.74 : 6,541.64 = 2,751.96 : x
  2. Step 2: Convert to fraction form
    4,739.74/6,541.64 = 2,751.96/x
  3. Step 3: Cross multiply
    4,739.74x = 6,541.64 × 2,751.96
  4. Step 4: Simplify right side
    4,739.74x = 18,002,331.61
  5. Step 5: Solve for x
    x = 18,002,331.61/4,739.74
  6. Step 6: Final answer
    x = 3,798.17

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Why These Related Problems?

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