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Finding the Fourth Proportional to 5,813.73, 8,023.73 and 3,723.93

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Solution

The fourth proportional to 5,813.73, 8,023.73 and 3,723.93 is: 5,139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.73 : 8,023.73 = 3,723.93 : x
  2. Step 2: Convert to fraction form
    5,813.73/8,023.73 = 3,723.93/x
  3. Step 3: Cross multiply
    5,813.73x = 8,023.73 × 3,723.93
  4. Step 4: Simplify right side
    5,813.73x = 29,879,790.24
  5. Step 5: Solve for x
    x = 29,879,790.24/5,813.73
  6. Step 6: Final answer
    x = 5,139.52

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Why These Related Problems?

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