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Finding the Fourth Proportional to 5,101.98, 7,651.44 and 1,814.64

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Solution

The fourth proportional to 5,101.98, 7,651.44 and 1,814.64 is: 2,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.98 : 7,651.44 = 1,814.64 : x
  2. Step 2: Convert to fraction form
    5,101.98/7,651.44 = 1,814.64/x
  3. Step 3: Cross multiply
    5,101.98x = 7,651.44 × 1,814.64
  4. Step 4: Simplify right side
    5,101.98x = 13,884,609.08
  5. Step 5: Solve for x
    x = 13,884,609.08/5,101.98
  6. Step 6: Final answer
    x = 2,721.42

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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.