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Finding the Fourth Proportional to 3,389.12, 5,084.52 and 1,049

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Solution

The fourth proportional to 3,389.12, 5,084.52 and 1,049 is: 1,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.12 : 5,084.52 = 1,049 : x
  2. Step 2: Convert to fraction form
    3,389.12/5,084.52 = 1,049/x
  3. Step 3: Cross multiply
    3,389.12x = 5,084.52 × 1,049
  4. Step 4: Simplify right side
    3,389.12x = 5,333,661.48
  5. Step 5: Solve for x
    x = 5,333,661.48/3,389.12
  6. Step 6: Final answer
    x = 1,573.76

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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.