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Finding the Fourth Proportional to 4,199.65, 6,294.92 and 1,732.59

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Solution

The fourth proportional to 4,199.65, 6,294.92 and 1,732.59 is: 2,597.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.65 : 6,294.92 = 1,732.59 : x
  2. Step 2: Convert to fraction form
    4,199.65/6,294.92 = 1,732.59/x
  3. Step 3: Cross multiply
    4,199.65x = 6,294.92 × 1,732.59
  4. Step 4: Simplify right side
    4,199.65x = 10,906,506.78
  5. Step 5: Solve for x
    x = 10,906,506.78/4,199.65
  6. Step 6: Final answer
    x = 2,597.01

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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.