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Finding the Fourth Proportional to 4,134.62, 6,200.30 and 1,824.50

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Solution

The fourth proportional to 4,134.62, 6,200.30 and 1,824.50 is: 2,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.62 : 6,200.30 = 1,824.50 : x
  2. Step 2: Convert to fraction form
    4,134.62/6,200.30 = 1,824.50/x
  3. Step 3: Cross multiply
    4,134.62x = 6,200.30 × 1,824.50
  4. Step 4: Simplify right side
    4,134.62x = 11,312,447.35
  5. Step 5: Solve for x
    x = 11,312,447.35/4,134.62
  6. Step 6: Final answer
    x = 2,736.03

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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.