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Finding the Fourth Proportional to 4,093.47, 5,642.87 and 3,207.74

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Solution

The fourth proportional to 4,093.47, 5,642.87 and 3,207.74 is: 4,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.47 : 5,642.87 = 3,207.74 : x
  2. Step 2: Convert to fraction form
    4,093.47/5,642.87 = 3,207.74/x
  3. Step 3: Cross multiply
    4,093.47x = 5,642.87 × 3,207.74
  4. Step 4: Simplify right side
    4,093.47x = 18,100,815.56
  5. Step 5: Solve for x
    x = 18,100,815.56/4,093.47
  6. Step 6: Final answer
    x = 4,421.88

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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.