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Finding the Fourth Proportional to 4,163.50, 5,740.88 and 3,909.26

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Solution

The fourth proportional to 4,163.50, 5,740.88 and 3,909.26 is: 5,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.50 : 5,740.88 = 3,909.26 : x
  2. Step 2: Convert to fraction form
    4,163.50/5,740.88 = 3,909.26/x
  3. Step 3: Cross multiply
    4,163.50x = 5,740.88 × 3,909.26
  4. Step 4: Simplify right side
    4,163.50x = 22,442,587.35
  5. Step 5: Solve for x
    x = 22,442,587.35/4,163.50
  6. Step 6: Final answer
    x = 5,390.32

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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.