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Finding the Fourth Proportional to 4,493.64, 6,200.50 and 2,503.74

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Solution

The fourth proportional to 4,493.64, 6,200.50 and 2,503.74 is: 3,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.64 : 6,200.50 = 2,503.74 : x
  2. Step 2: Convert to fraction form
    4,493.64/6,200.50 = 2,503.74/x
  3. Step 3: Cross multiply
    4,493.64x = 6,200.50 × 2,503.74
  4. Step 4: Simplify right side
    4,493.64x = 15,524,439.87
  5. Step 5: Solve for x
    x = 15,524,439.87/4,493.64
  6. Step 6: Final answer
    x = 3,454.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.