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Finding the Fourth Proportional to 5,142.64, 7,714.36 and 1,680.24

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Solution

The fourth proportional to 5,142.64, 7,714.36 and 1,680.24 is: 2,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.64 : 7,714.36 = 1,680.24 : x
  2. Step 2: Convert to fraction form
    5,142.64/7,714.36 = 1,680.24/x
  3. Step 3: Cross multiply
    5,142.64x = 7,714.36 × 1,680.24
  4. Step 4: Simplify right side
    5,142.64x = 12,961,976.25
  5. Step 5: Solve for x
    x = 12,961,976.25/5,142.64
  6. Step 6: Final answer
    x = 2,520.49

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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.