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Finding the Fourth Proportional to 4,714.30, 6,505.01 and 2,724.47

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Solution

The fourth proportional to 4,714.30, 6,505.01 and 2,724.47 is: 3,759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.30 : 6,505.01 = 2,724.47 : x
  2. Step 2: Convert to fraction form
    4,714.30/6,505.01 = 2,724.47/x
  3. Step 3: Cross multiply
    4,714.30x = 6,505.01 × 2,724.47
  4. Step 4: Simplify right side
    4,714.30x = 17,722,704.59
  5. Step 5: Solve for x
    x = 17,722,704.59/4,714.30
  6. Step 6: Final answer
    x = 3,759.35

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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.