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Finding the Fourth Proportional to 4,229.65, 5,836.71 and 2,460.97

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Solution

The fourth proportional to 4,229.65, 5,836.71 and 2,460.97 is: 3,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.65 : 5,836.71 = 2,460.97 : x
  2. Step 2: Convert to fraction form
    4,229.65/5,836.71 = 2,460.97/x
  3. Step 3: Cross multiply
    4,229.65x = 5,836.71 × 2,460.97
  4. Step 4: Simplify right side
    4,229.65x = 14,363,968.21
  5. Step 5: Solve for x
    x = 14,363,968.21/4,229.65
  6. Step 6: Final answer
    x = 3,396.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.