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Finding the Fourth Proportional to 4,972.79, 7,460.10 and 2,049.50

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Solution

The fourth proportional to 4,972.79, 7,460.10 and 2,049.50 is: 3,074.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.79 : 7,460.10 = 2,049.50 : x
  2. Step 2: Convert to fraction form
    4,972.79/7,460.10 = 2,049.50/x
  3. Step 3: Cross multiply
    4,972.79x = 7,460.10 × 2,049.50
  4. Step 4: Simplify right side
    4,972.79x = 15,289,493.60
  5. Step 5: Solve for x
    x = 15,289,493.60/4,972.79
  6. Step 6: Final answer
    x = 3,074.63

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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.