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Finding the Fourth Proportional to 5,814.63, 8,023.19 and 3,455.91

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Solution

The fourth proportional to 5,814.63, 8,023.19 and 3,455.91 is: 4,768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.63 : 8,023.19 = 3,455.91 : x
  2. Step 2: Convert to fraction form
    5,814.63/8,023.19 = 3,455.91/x
  3. Step 3: Cross multiply
    5,814.63x = 8,023.19 × 3,455.91
  4. Step 4: Simplify right side
    5,814.63x = 27,727,405.27
  5. Step 5: Solve for x
    x = 27,727,405.27/5,814.63
  6. Step 6: Final answer
    x = 4,768.56

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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.