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Finding the Fourth Proportional to 5,310.46, 7,962.45 and 4,383.82

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Solution

The fourth proportional to 5,310.46, 7,962.45 and 4,383.82 is: 6,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.46 : 7,962.45 = 4,383.82 : x
  2. Step 2: Convert to fraction form
    5,310.46/7,962.45 = 4,383.82/x
  3. Step 3: Cross multiply
    5,310.46x = 7,962.45 × 4,383.82
  4. Step 4: Simplify right side
    5,310.46x = 34,905,947.56
  5. Step 5: Solve for x
    x = 34,905,947.56/5,310.46
  6. Step 6: Final answer
    x = 6,573.06

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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.