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Finding the Fourth Proportional to 3,389.54, 5,085.08 and 1,309.55

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Solution

The fourth proportional to 3,389.54, 5,085.08 and 1,309.55 is: 1,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.54 : 5,085.08 = 1,309.55 : x
  2. Step 2: Convert to fraction form
    3,389.54/5,085.08 = 1,309.55/x
  3. Step 3: Cross multiply
    3,389.54x = 5,085.08 × 1,309.55
  4. Step 4: Simplify right side
    3,389.54x = 6,659,134.54
  5. Step 5: Solve for x
    x = 6,659,134.54/3,389.54
  6. Step 6: Final answer
    x = 1,964.62

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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.