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Finding the Fourth Proportional to 3,486.44, 5,229.66 and 1,433.32

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Solution

The fourth proportional to 3,486.44, 5,229.66 and 1,433.32 is: 2,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.44 : 5,229.66 = 1,433.32 : x
  2. Step 2: Convert to fraction form
    3,486.44/5,229.66 = 1,433.32/x
  3. Step 3: Cross multiply
    3,486.44x = 5,229.66 × 1,433.32
  4. Step 4: Simplify right side
    3,486.44x = 7,495,776.27
  5. Step 5: Solve for x
    x = 7,495,776.27/3,486.44
  6. Step 6: Final answer
    x = 2,149.98

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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.