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Finding the Fourth Proportional to 3,461.65, 5,185.58 and 2,678.92

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Solution

The fourth proportional to 3,461.65, 5,185.58 and 2,678.92 is: 4,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.65 : 5,185.58 = 2,678.92 : x
  2. Step 2: Convert to fraction form
    3,461.65/5,185.58 = 2,678.92/x
  3. Step 3: Cross multiply
    3,461.65x = 5,185.58 × 2,678.92
  4. Step 4: Simplify right side
    3,461.65x = 13,891,753.97
  5. Step 5: Solve for x
    x = 13,891,753.97/3,461.65
  6. Step 6: Final answer
    x = 4,013.04

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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.