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Finding the Fourth Proportional to 3,437.26, 5,146.66 and 2,828.32

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Solution

The fourth proportional to 3,437.26, 5,146.66 and 2,828.32 is: 4,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.26 : 5,146.66 = 2,828.32 : x
  2. Step 2: Convert to fraction form
    3,437.26/5,146.66 = 2,828.32/x
  3. Step 3: Cross multiply
    3,437.26x = 5,146.66 × 2,828.32
  4. Step 4: Simplify right side
    3,437.26x = 14,556,400.03
  5. Step 5: Solve for x
    x = 14,556,400.03/3,437.26
  6. Step 6: Final answer
    x = 4,234.88

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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.