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Finding the Fourth Proportional to 4,741.87, 7,114.32 and 2,276.86

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Solution

The fourth proportional to 4,741.87, 7,114.32 and 2,276.86 is: 3,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.87 : 7,114.32 = 2,276.86 : x
  2. Step 2: Convert to fraction form
    4,741.87/7,114.32 = 2,276.86/x
  3. Step 3: Cross multiply
    4,741.87x = 7,114.32 × 2,276.86
  4. Step 4: Simplify right side
    4,741.87x = 16,198,310.64
  5. Step 5: Solve for x
    x = 16,198,310.64/4,741.87
  6. Step 6: Final answer
    x = 3,416.02

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Why These Related Problems?

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