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Finding the Fourth Proportional to 4,714.07, 7,071.10 and 2,250.62

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Solution

The fourth proportional to 4,714.07, 7,071.10 and 2,250.62 is: 3,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.07 : 7,071.10 = 2,250.62 : x
  2. Step 2: Convert to fraction form
    4,714.07/7,071.10 = 2,250.62/x
  3. Step 3: Cross multiply
    4,714.07x = 7,071.10 × 2,250.62
  4. Step 4: Simplify right side
    4,714.07x = 15,914,344.62
  5. Step 5: Solve for x
    x = 15,914,344.62/4,714.07
  6. Step 6: Final answer
    x = 3,375.93

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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.