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Finding the Fourth Proportional to 4,714.00, 6,504.93 and 2,724.68

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Solution

The fourth proportional to 4,714.00, 6,504.93 and 2,724.68 is: 3,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.00 : 6,504.93 = 2,724.68 : x
  2. Step 2: Convert to fraction form
    4,714.00/6,504.93 = 2,724.68/x
  3. Step 3: Cross multiply
    4,714.00x = 6,504.93 × 2,724.68
  4. Step 4: Simplify right side
    4,714.00x = 17,723,859.48
  5. Step 5: Solve for x
    x = 17,723,859.48/4,714.00
  6. Step 6: Final answer
    x = 3,759.84

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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.