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Finding the Fourth Proportional to 4,966.29, 7,449.03 and 1,679.31

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Solution

The fourth proportional to 4,966.29, 7,449.03 and 1,679.31 is: 2,518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.29 : 7,449.03 = 1,679.31 : x
  2. Step 2: Convert to fraction form
    4,966.29/7,449.03 = 1,679.31/x
  3. Step 3: Cross multiply
    4,966.29x = 7,449.03 × 1,679.31
  4. Step 4: Simplify right side
    4,966.29x = 12,509,230.57
  5. Step 5: Solve for x
    x = 12,509,230.57/4,966.29
  6. Step 6: Final answer
    x = 2,518.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.