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Finding the Fourth Proportional to 4,255.62, 6,384.24 and 1,333.14

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Solution

The fourth proportional to 4,255.62, 6,384.24 and 1,333.14 is: 1,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.62 : 6,384.24 = 1,333.14 : x
  2. Step 2: Convert to fraction form
    4,255.62/6,384.24 = 1,333.14/x
  3. Step 3: Cross multiply
    4,255.62x = 6,384.24 × 1,333.14
  4. Step 4: Simplify right side
    4,255.62x = 8,511,085.71
  5. Step 5: Solve for x
    x = 8,511,085.71/4,255.62
  6. Step 6: Final answer
    x = 1,999.96

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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.