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Finding the Fourth Proportional to 4,135.54, 6,202.77 and 1,826.50

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Solution

The fourth proportional to 4,135.54, 6,202.77 and 1,826.50 is: 2,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.54 : 6,202.77 = 1,826.50 : x
  2. Step 2: Convert to fraction form
    4,135.54/6,202.77 = 1,826.50/x
  3. Step 3: Cross multiply
    4,135.54x = 6,202.77 × 1,826.50
  4. Step 4: Simplify right side
    4,135.54x = 11,329,359.41
  5. Step 5: Solve for x
    x = 11,329,359.41/4,135.54
  6. Step 6: Final answer
    x = 2,739.51

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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.