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Finding the Fourth Proportional to 3,518.56, 4,857.82 and 2,260.12

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Solution

The fourth proportional to 3,518.56, 4,857.82 and 2,260.12 is: 3,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.56 : 4,857.82 = 2,260.12 : x
  2. Step 2: Convert to fraction form
    3,518.56/4,857.82 = 2,260.12/x
  3. Step 3: Cross multiply
    3,518.56x = 4,857.82 × 2,260.12
  4. Step 4: Simplify right side
    3,518.56x = 10,979,256.14
  5. Step 5: Solve for x
    x = 10,979,256.14/3,518.56
  6. Step 6: Final answer
    x = 3,120.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.