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Finding the Fourth Proportional to 5,110.60, 7,665.90 and 3,814.60

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Solution

The fourth proportional to 5,110.60, 7,665.90 and 3,814.60 is: 5,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110.60 : 7,665.90 = 3,814.60 : x
  2. Step 2: Convert to fraction form
    5,110.60/7,665.90 = 3,814.60/x
  3. Step 3: Cross multiply
    5,110.60x = 7,665.90 × 3,814.60
  4. Step 4: Simplify right side
    5,110.60x = 29,242,342.14
  5. Step 5: Solve for x
    x = 29,242,342.14/5,110.60
  6. Step 6: Final answer
    x = 5,721.90

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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.