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Finding the Fourth Proportional to 4,827.36, 6,659.54 and 2,837.88

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Solution

The fourth proportional to 4,827.36, 6,659.54 and 2,837.88 is: 3,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.36 : 6,659.54 = 2,837.88 : x
  2. Step 2: Convert to fraction form
    4,827.36/6,659.54 = 2,837.88/x
  3. Step 3: Cross multiply
    4,827.36x = 6,659.54 × 2,837.88
  4. Step 4: Simplify right side
    4,827.36x = 18,898,975.38
  5. Step 5: Solve for x
    x = 18,898,975.38/4,827.36
  6. Step 6: Final answer
    x = 3,914.97

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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.