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Finding the Fourth Proportional to 4,843, 7,264.59 and 1,380.34

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Solution

The fourth proportional to 4,843, 7,264.59 and 1,380.34 is: 2,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843 : 7,264.59 = 1,380.34 : x
  2. Step 2: Convert to fraction form
    4,843/7,264.59 = 1,380.34/x
  3. Step 3: Cross multiply
    4,843x = 7,264.59 × 1,380.34
  4. Step 4: Simplify right side
    4,843x = 10,027,604.16
  5. Step 5: Solve for x
    x = 10,027,604.16/4,843
  6. Step 6: Final answer
    x = 2,070.54

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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.