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Finding the Fourth Proportional to 4,824.50, 6,655.98 and 2,834.34

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Solution

The fourth proportional to 4,824.50, 6,655.98 and 2,834.34 is: 3,910.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.50 : 6,655.98 = 2,834.34 : x
  2. Step 2: Convert to fraction form
    4,824.50/6,655.98 = 2,834.34/x
  3. Step 3: Cross multiply
    4,824.50x = 6,655.98 × 2,834.34
  4. Step 4: Simplify right side
    4,824.50x = 18,865,310.35
  5. Step 5: Solve for x
    x = 18,865,310.35/4,824.50
  6. Step 6: Final answer
    x = 3,910.31

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