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Finding the Fourth Proportional to 3,093.01, 4,639.56 and 1,013

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Solution

The fourth proportional to 3,093.01, 4,639.56 and 1,013 is: 1,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.01 : 4,639.56 = 1,013 : x
  2. Step 2: Convert to fraction form
    3,093.01/4,639.56 = 1,013/x
  3. Step 3: Cross multiply
    3,093.01x = 4,639.56 × 1,013
  4. Step 4: Simplify right side
    3,093.01x = 4,699,874.28
  5. Step 5: Solve for x
    x = 4,699,874.28/3,093.01
  6. Step 6: Final answer
    x = 1,519.51

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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.