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Finding the Fourth Proportional to 4,500.60, 6,750.86 and 1,213.42

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Solution

The fourth proportional to 4,500.60, 6,750.86 and 1,213.42 is: 1,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500.60 : 6,750.86 = 1,213.42 : x
  2. Step 2: Convert to fraction form
    4,500.60/6,750.86 = 1,213.42/x
  3. Step 3: Cross multiply
    4,500.60x = 6,750.86 × 1,213.42
  4. Step 4: Simplify right side
    4,500.60x = 8,191,628.54
  5. Step 5: Solve for x
    x = 8,191,628.54/4,500.60
  6. Step 6: Final answer
    x = 1,820.12

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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.