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Finding the Fourth Proportional to 4,796.54, 7,192.92 and 1,874.42

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Solution

The fourth proportional to 4,796.54, 7,192.92 and 1,874.42 is: 2,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.54 : 7,192.92 = 1,874.42 : x
  2. Step 2: Convert to fraction form
    4,796.54/7,192.92 = 1,874.42/x
  3. Step 3: Cross multiply
    4,796.54x = 7,192.92 × 1,874.42
  4. Step 4: Simplify right side
    4,796.54x = 13,482,553.11
  5. Step 5: Solve for x
    x = 13,482,553.11/4,796.54
  6. Step 6: Final answer
    x = 2,810.89

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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.