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Finding the Fourth Proportional to 5,143.30, 7,714.68 and 2,805.10

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Solution

The fourth proportional to 5,143.30, 7,714.68 and 2,805.10 is: 4,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.30 : 7,714.68 = 2,805.10 : x
  2. Step 2: Convert to fraction form
    5,143.30/7,714.68 = 2,805.10/x
  3. Step 3: Cross multiply
    5,143.30x = 7,714.68 × 2,805.10
  4. Step 4: Simplify right side
    5,143.30x = 21,640,448.87
  5. Step 5: Solve for x
    x = 21,640,448.87/5,143.30
  6. Step 6: Final answer
    x = 4,207.50

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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.