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Finding the Fourth Proportional to 4,596.75, 6,874.10 and 3,427.55

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Solution

The fourth proportional to 4,596.75, 6,874.10 and 3,427.55 is: 5,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.75 : 6,874.10 = 3,427.55 : x
  2. Step 2: Convert to fraction form
    4,596.75/6,874.10 = 3,427.55/x
  3. Step 3: Cross multiply
    4,596.75x = 6,874.10 × 3,427.55
  4. Step 4: Simplify right side
    4,596.75x = 23,561,308.58
  5. Step 5: Solve for x
    x = 23,561,308.58/4,596.75
  6. Step 6: Final answer
    x = 5,125.64

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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.