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Finding the Fourth Proportional to 4,902.96, 7,356.24 and 1,982.10

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Solution

The fourth proportional to 4,902.96, 7,356.24 and 1,982.10 is: 2,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.96 : 7,356.24 = 1,982.10 : x
  2. Step 2: Convert to fraction form
    4,902.96/7,356.24 = 1,982.10/x
  3. Step 3: Cross multiply
    4,902.96x = 7,356.24 × 1,982.10
  4. Step 4: Simplify right side
    4,902.96x = 14,580,803.30
  5. Step 5: Solve for x
    x = 14,580,803.30/4,902.96
  6. Step 6: Final answer
    x = 2,973.88

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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.