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Finding the Fourth Proportional to 4,213.63, 6,321.71 and 1,252.18

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Solution

The fourth proportional to 4,213.63, 6,321.71 and 1,252.18 is: 1,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.63 : 6,321.71 = 1,252.18 : x
  2. Step 2: Convert to fraction form
    4,213.63/6,321.71 = 1,252.18/x
  3. Step 3: Cross multiply
    4,213.63x = 6,321.71 × 1,252.18
  4. Step 4: Simplify right side
    4,213.63x = 7,915,889.02
  5. Step 5: Solve for x
    x = 7,915,889.02/4,213.63
  6. Step 6: Final answer
    x = 1,878.64

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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.