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Finding the Fourth Proportional to 5,813.74, 8,023.13 and 3,576.93

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Solution

The fourth proportional to 5,813.74, 8,023.13 and 3,576.93 is: 4,936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.74 : 8,023.13 = 3,576.93 : x
  2. Step 2: Convert to fraction form
    5,813.74/8,023.13 = 3,576.93/x
  3. Step 3: Cross multiply
    5,813.74x = 8,023.13 × 3,576.93
  4. Step 4: Simplify right side
    5,813.74x = 28,698,174.39
  5. Step 5: Solve for x
    x = 28,698,174.39/5,813.74
  6. Step 6: Final answer
    x = 4,936.27

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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.