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Finding the Fourth Proportional to 5,746.27, 8,625.21 and 3,871.93

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Solution

The fourth proportional to 5,746.27, 8,625.21 and 3,871.93 is: 5,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.27 : 8,625.21 = 3,871.93 : x
  2. Step 2: Convert to fraction form
    5,746.27/8,625.21 = 3,871.93/x
  3. Step 3: Cross multiply
    5,746.27x = 8,625.21 × 3,871.93
  4. Step 4: Simplify right side
    5,746.27x = 33,396,209.36
  5. Step 5: Solve for x
    x = 33,396,209.36/5,746.27
  6. Step 6: Final answer
    x = 5,811.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.