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Finding the Fourth Proportional to 4,714.22, 6,504.90 and 2,724.39

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Solution

The fourth proportional to 4,714.22, 6,504.90 and 2,724.39 is: 3,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.22 : 6,504.90 = 2,724.39 : x
  2. Step 2: Convert to fraction form
    4,714.22/6,504.90 = 2,724.39/x
  3. Step 3: Cross multiply
    4,714.22x = 6,504.90 × 2,724.39
  4. Step 4: Simplify right side
    4,714.22x = 17,721,879.40
  5. Step 5: Solve for x
    x = 17,721,879.40/4,714.22
  6. Step 6: Final answer
    x = 3,759.24

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