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Finding the Fourth Proportional to 3,484.67, 5,229.32 and 1,293.44

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Solution

The fourth proportional to 3,484.67, 5,229.32 and 1,293.44 is: 1,941.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.67 : 5,229.32 = 1,293.44 : x
  2. Step 2: Convert to fraction form
    3,484.67/5,229.32 = 1,293.44/x
  3. Step 3: Cross multiply
    3,484.67x = 5,229.32 × 1,293.44
  4. Step 4: Simplify right side
    3,484.67x = 6,763,779.05
  5. Step 5: Solve for x
    x = 6,763,779.05/3,484.67
  6. Step 6: Final answer
    x = 1,941.01

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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.