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Finding the Fourth Proportional to 3,909.21, 5,395.22 and 2,230.23

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Solution

The fourth proportional to 3,909.21, 5,395.22 and 2,230.23 is: 3,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.21 : 5,395.22 = 2,230.23 : x
  2. Step 2: Convert to fraction form
    3,909.21/5,395.22 = 2,230.23/x
  3. Step 3: Cross multiply
    3,909.21x = 5,395.22 × 2,230.23
  4. Step 4: Simplify right side
    3,909.21x = 12,032,543.37
  5. Step 5: Solve for x
    x = 12,032,543.37/3,909.21
  6. Step 6: Final answer
    x = 3,078.00

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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.