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Finding the Fourth Proportional to 4,228.52, 5,830.10 and 3,232.22

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Solution

The fourth proportional to 4,228.52, 5,830.10 and 3,232.22 is: 4,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.52 : 5,830.10 = 3,232.22 : x
  2. Step 2: Convert to fraction form
    4,228.52/5,830.10 = 3,232.22/x
  3. Step 3: Cross multiply
    4,228.52x = 5,830.10 × 3,232.22
  4. Step 4: Simplify right side
    4,228.52x = 18,844,165.82
  5. Step 5: Solve for x
    x = 18,844,165.82/4,228.52
  6. Step 6: Final answer
    x = 4,456.44

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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.