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Finding the Fourth Proportional to 5,814.60, 8,020.14 and 4,022.64

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Solution

The fourth proportional to 5,814.60, 8,020.14 and 4,022.64 is: 5,548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.60 : 8,020.14 = 4,022.64 : x
  2. Step 2: Convert to fraction form
    5,814.60/8,020.14 = 4,022.64/x
  3. Step 3: Cross multiply
    5,814.60x = 8,020.14 × 4,022.64
  4. Step 4: Simplify right side
    5,814.60x = 32,262,135.97
  5. Step 5: Solve for x
    x = 32,262,135.97/5,814.60
  6. Step 6: Final answer
    x = 5,548.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.