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Finding the Fourth Proportional to 4,196.64, 6,293.88 and 1,732.16

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Solution

The fourth proportional to 4,196.64, 6,293.88 and 1,732.16 is: 2,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.64 : 6,293.88 = 1,732.16 : x
  2. Step 2: Convert to fraction form
    4,196.64/6,293.88 = 1,732.16/x
  3. Step 3: Cross multiply
    4,196.64x = 6,293.88 × 1,732.16
  4. Step 4: Simplify right side
    4,196.64x = 10,902,007.18
  5. Step 5: Solve for x
    x = 10,902,007.18/4,196.64
  6. Step 6: Final answer
    x = 2,597.79

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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.