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Finding the Fourth Proportional to 3,389, 5,084.40 and 1,080.52

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Solution

The fourth proportional to 3,389, 5,084.40 and 1,080.52 is: 1,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389 : 5,084.40 = 1,080.52 : x
  2. Step 2: Convert to fraction form
    3,389/5,084.40 = 1,080.52/x
  3. Step 3: Cross multiply
    3,389x = 5,084.40 × 1,080.52
  4. Step 4: Simplify right side
    3,389x = 5,493,795.89
  5. Step 5: Solve for x
    x = 5,493,795.89/3,389
  6. Step 6: Final answer
    x = 1,621.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.