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Finding the Fourth Proportional to 4,714.44, 7,071.92 and 3,625.24

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Solution

The fourth proportional to 4,714.44, 7,071.92 and 3,625.24 is: 5,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.44 : 7,071.92 = 3,625.24 : x
  2. Step 2: Convert to fraction form
    4,714.44/7,071.92 = 3,625.24/x
  3. Step 3: Cross multiply
    4,714.44x = 7,071.92 × 3,625.24
  4. Step 4: Simplify right side
    4,714.44x = 25,637,407.26
  5. Step 5: Solve for x
    x = 25,637,407.26/4,714.44
  6. Step 6: Final answer
    x = 5,438.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.