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Finding the Fourth Proportional to 4,902, 7,353.36 and 1,824

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Solution

The fourth proportional to 4,902, 7,353.36 and 1,824 is: 2,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902 : 7,353.36 = 1,824 : x
  2. Step 2: Convert to fraction form
    4,902/7,353.36 = 1,824/x
  3. Step 3: Cross multiply
    4,902x = 7,353.36 × 1,824
  4. Step 4: Simplify right side
    4,902x = 13,412,528.64
  5. Step 5: Solve for x
    x = 13,412,528.64/4,902
  6. Step 6: Final answer
    x = 2,736.13

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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.