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Finding the Fourth Proportional to 4,826.82, 7,236.14 and 1,907.18

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Solution

The fourth proportional to 4,826.82, 7,236.14 and 1,907.18 is: 2,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.82 : 7,236.14 = 1,907.18 : x
  2. Step 2: Convert to fraction form
    4,826.82/7,236.14 = 1,907.18/x
  3. Step 3: Cross multiply
    4,826.82x = 7,236.14 × 1,907.18
  4. Step 4: Simplify right side
    4,826.82x = 13,800,602.90
  5. Step 5: Solve for x
    x = 13,800,602.90/4,826.82
  6. Step 6: Final answer
    x = 2,859.15

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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.