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Finding the Fourth Proportional to 4,972.92, 7,460.94 and 2,052.60

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Solution

The fourth proportional to 4,972.92, 7,460.94 and 2,052.60 is: 3,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.92 : 7,460.94 = 2,052.60 : x
  2. Step 2: Convert to fraction form
    4,972.92/7,460.94 = 2,052.60/x
  3. Step 3: Cross multiply
    4,972.92x = 7,460.94 × 2,052.60
  4. Step 4: Simplify right side
    4,972.92x = 15,314,325.44
  5. Step 5: Solve for x
    x = 15,314,325.44/4,972.92
  6. Step 6: Final answer
    x = 3,079.54

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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.