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Finding the Fourth Proportional to 4,842.63, 6,682.53 and 2,717.80

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Solution

The fourth proportional to 4,842.63, 6,682.53 and 2,717.80 is: 3,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.63 : 6,682.53 = 2,717.80 : x
  2. Step 2: Convert to fraction form
    4,842.63/6,682.53 = 2,717.80/x
  3. Step 3: Cross multiply
    4,842.63x = 6,682.53 × 2,717.80
  4. Step 4: Simplify right side
    4,842.63x = 18,161,773.52
  5. Step 5: Solve for x
    x = 18,161,773.52/4,842.63
  6. Step 6: Final answer
    x = 3,750.39

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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.