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Finding the Fourth Proportional to 4,787.98, 7,177.01 and 1,825.62

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Solution

The fourth proportional to 4,787.98, 7,177.01 and 1,825.62 is: 2,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.98 : 7,177.01 = 1,825.62 : x
  2. Step 2: Convert to fraction form
    4,787.98/7,177.01 = 1,825.62/x
  3. Step 3: Cross multiply
    4,787.98x = 7,177.01 × 1,825.62
  4. Step 4: Simplify right side
    4,787.98x = 13,102,500.26
  5. Step 5: Solve for x
    x = 13,102,500.26/4,787.98
  6. Step 6: Final answer
    x = 2,736.54

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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.