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Finding the Fourth Proportional to 4,832.27, 7,255.76 and 4,594.43

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Solution

The fourth proportional to 4,832.27, 7,255.76 and 4,594.43 is: 6,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.27 : 7,255.76 = 4,594.43 : x
  2. Step 2: Convert to fraction form
    4,832.27/7,255.76 = 4,594.43/x
  3. Step 3: Cross multiply
    4,832.27x = 7,255.76 × 4,594.43
  4. Step 4: Simplify right side
    4,832.27x = 33,336,076.58
  5. Step 5: Solve for x
    x = 33,336,076.58/4,832.27
  6. Step 6: Final answer
    x = 6,898.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.