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Finding the Fourth Proportional to 4,333.43, 6,500.55 and 1,213.43

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Solution

The fourth proportional to 4,333.43, 6,500.55 and 1,213.43 is: 1,820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.43 : 6,500.55 = 1,213.43 : x
  2. Step 2: Convert to fraction form
    4,333.43/6,500.55 = 1,213.43/x
  3. Step 3: Cross multiply
    4,333.43x = 6,500.55 × 1,213.43
  4. Step 4: Simplify right side
    4,333.43x = 7,887,956.32
  5. Step 5: Solve for x
    x = 7,887,956.32/4,333.43
  6. Step 6: Final answer
    x = 1,820.26

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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.