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Finding the Fourth Proportional to 4,074.60, 6,114.78 and 3,682.92

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Solution

The fourth proportional to 4,074.60, 6,114.78 and 3,682.92 is: 5,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.60 : 6,114.78 = 3,682.92 : x
  2. Step 2: Convert to fraction form
    4,074.60/6,114.78 = 3,682.92/x
  3. Step 3: Cross multiply
    4,074.60x = 6,114.78 × 3,682.92
  4. Step 4: Simplify right side
    4,074.60x = 22,520,245.56
  5. Step 5: Solve for x
    x = 22,520,245.56/4,074.60
  6. Step 6: Final answer
    x = 5,526.98

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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.