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Finding the Fourth Proportional to 4,929.78, 7,396.02 and 2,461.62

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Solution

The fourth proportional to 4,929.78, 7,396.02 and 2,461.62 is: 3,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.78 : 7,396.02 = 2,461.62 : x
  2. Step 2: Convert to fraction form
    4,929.78/7,396.02 = 2,461.62/x
  3. Step 3: Cross multiply
    4,929.78x = 7,396.02 × 2,461.62
  4. Step 4: Simplify right side
    4,929.78x = 18,206,190.75
  5. Step 5: Solve for x
    x = 18,206,190.75/4,929.78
  6. Step 6: Final answer
    x = 3,693.10

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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.