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Finding the Fourth Proportional to 4,834.60, 7,250.10 and 1,912.30

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Solution

The fourth proportional to 4,834.60, 7,250.10 and 1,912.30 is: 2,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.60 : 7,250.10 = 1,912.30 : x
  2. Step 2: Convert to fraction form
    4,834.60/7,250.10 = 1,912.30/x
  3. Step 3: Cross multiply
    4,834.60x = 7,250.10 × 1,912.30
  4. Step 4: Simplify right side
    4,834.60x = 13,864,366.23
  5. Step 5: Solve for x
    x = 13,864,366.23/4,834.60
  6. Step 6: Final answer
    x = 2,867.74

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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.