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Finding the Fourth Proportional to 5,309.92, 7,966.50 and 2,714.68

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Solution

The fourth proportional to 5,309.92, 7,966.50 and 2,714.68 is: 4,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.92 : 7,966.50 = 2,714.68 : x
  2. Step 2: Convert to fraction form
    5,309.92/7,966.50 = 2,714.68/x
  3. Step 3: Cross multiply
    5,309.92x = 7,966.50 × 2,714.68
  4. Step 4: Simplify right side
    5,309.92x = 21,626,498.22
  5. Step 5: Solve for x
    x = 21,626,498.22/5,309.92
  6. Step 6: Final answer
    x = 4,072.85

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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.