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Finding the Fourth Proportional to 4,095.34, 5,651.58 and 2,680

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Solution

The fourth proportional to 4,095.34, 5,651.58 and 2,680 is: 3,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.34 : 5,651.58 = 2,680 : x
  2. Step 2: Convert to fraction form
    4,095.34/5,651.58 = 2,680/x
  3. Step 3: Cross multiply
    4,095.34x = 5,651.58 × 2,680
  4. Step 4: Simplify right side
    4,095.34x = 15,146,234.40
  5. Step 5: Solve for x
    x = 15,146,234.40/4,095.34
  6. Step 6: Final answer
    x = 3,698.41

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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.