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Finding the Fourth Proportional to 3,390.69, 5,085.72 and 1,309.44

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Solution

The fourth proportional to 3,390.69, 5,085.72 and 1,309.44 is: 1,964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.69 : 5,085.72 = 1,309.44 : x
  2. Step 2: Convert to fraction form
    3,390.69/5,085.72 = 1,309.44/x
  3. Step 3: Cross multiply
    3,390.69x = 5,085.72 × 1,309.44
  4. Step 4: Simplify right side
    3,390.69x = 6,659,445.20
  5. Step 5: Solve for x
    x = 6,659,445.20/3,390.69
  6. Step 6: Final answer
    x = 1,964.04

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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.