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Finding the Fourth Proportional to 4,809.92, 6,637.92 and 2,714

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Solution

The fourth proportional to 4,809.92, 6,637.92 and 2,714 is: 3,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.92 : 6,637.92 = 2,714 : x
  2. Step 2: Convert to fraction form
    4,809.92/6,637.92 = 2,714/x
  3. Step 3: Cross multiply
    4,809.92x = 6,637.92 × 2,714
  4. Step 4: Simplify right side
    4,809.92x = 18,015,314.88
  5. Step 5: Solve for x
    x = 18,015,314.88/4,809.92
  6. Step 6: Final answer
    x = 3,745.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.