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Finding the Fourth Proportional to 3,223.18, 4,796.17 and 3,212.24

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Solution

The fourth proportional to 3,223.18, 4,796.17 and 3,212.24 is: 4,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.18 : 4,796.17 = 3,212.24 : x
  2. Step 2: Convert to fraction form
    3,223.18/4,796.17 = 3,212.24/x
  3. Step 3: Cross multiply
    3,223.18x = 4,796.17 × 3,212.24
  4. Step 4: Simplify right side
    3,223.18x = 15,406,444.09
  5. Step 5: Solve for x
    x = 15,406,444.09/3,223.18
  6. Step 6: Final answer
    x = 4,779.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.