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Finding the Fourth Proportional to 4,902.48, 7,354.80 and 2,304

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Solution

The fourth proportional to 4,902.48, 7,354.80 and 2,304 is: 3,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.48 : 7,354.80 = 2,304 : x
  2. Step 2: Convert to fraction form
    4,902.48/7,354.80 = 2,304/x
  3. Step 3: Cross multiply
    4,902.48x = 7,354.80 × 2,304
  4. Step 4: Simplify right side
    4,902.48x = 16,945,459.20
  5. Step 5: Solve for x
    x = 16,945,459.20/4,902.48
  6. Step 6: Final answer
    x = 3,456.51

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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.