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Finding the Fourth Proportional to 4,333.76, 6,500.23 and 1,214.05

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Solution

The fourth proportional to 4,333.76, 6,500.23 and 1,214.05 is: 1,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.76 : 6,500.23 = 1,214.05 : x
  2. Step 2: Convert to fraction form
    4,333.76/6,500.23 = 1,214.05/x
  3. Step 3: Cross multiply
    4,333.76x = 6,500.23 × 1,214.05
  4. Step 4: Simplify right side
    4,333.76x = 7,891,604.23
  5. Step 5: Solve for x
    x = 7,891,604.23/4,333.76
  6. Step 6: Final answer
    x = 1,820.96

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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.