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Finding the Fourth Proportional to 3,223.24, 4,836.14 and 3,218.12

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Solution

The fourth proportional to 3,223.24, 4,836.14 and 3,218.12 is: 4,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.24 : 4,836.14 = 3,218.12 : x
  2. Step 2: Convert to fraction form
    3,223.24/4,836.14 = 3,218.12/x
  3. Step 3: Cross multiply
    3,223.24x = 4,836.14 × 3,218.12
  4. Step 4: Simplify right side
    3,223.24x = 15,563,278.86
  5. Step 5: Solve for x
    x = 15,563,278.86/3,223.24
  6. Step 6: Final answer
    x = 4,828.46

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