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Finding the Fourth Proportional to 4,824.20, 6,657 and 2,834.84

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Solution

The fourth proportional to 4,824.20, 6,657 and 2,834.84 is: 3,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.20 : 6,657 = 2,834.84 : x
  2. Step 2: Convert to fraction form
    4,824.20/6,657 = 2,834.84/x
  3. Step 3: Cross multiply
    4,824.20x = 6,657 × 2,834.84
  4. Step 4: Simplify right side
    4,824.20x = 18,871,529.88
  5. Step 5: Solve for x
    x = 18,871,529.88/4,824.20
  6. Step 6: Final answer
    x = 3,911.85

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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.