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Finding the Fourth Proportional to 3,367.83, 5,051.40 and 902.90

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Solution

The fourth proportional to 3,367.83, 5,051.40 and 902.90 is: 1,354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.83 : 5,051.40 = 902.90 : x
  2. Step 2: Convert to fraction form
    3,367.83/5,051.40 = 902.90/x
  3. Step 3: Cross multiply
    3,367.83x = 5,051.40 × 902.90
  4. Step 4: Simplify right side
    3,367.83x = 4,560,918.30
  5. Step 5: Solve for x
    x = 4,560,918.30/3,367.83
  6. Step 6: Final answer
    x = 1,354.26

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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.