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Finding the Fourth Proportional to 4,977.92, 7,468.44 and 2,057.60

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Solution

The fourth proportional to 4,977.92, 7,468.44 and 2,057.60 is: 3,087.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.92 : 7,468.44 = 2,057.60 : x
  2. Step 2: Convert to fraction form
    4,977.92/7,468.44 = 2,057.60/x
  3. Step 3: Cross multiply
    4,977.92x = 7,468.44 × 2,057.60
  4. Step 4: Simplify right side
    4,977.92x = 15,367,062.14
  5. Step 5: Solve for x
    x = 15,367,062.14/4,977.92
  6. Step 6: Final answer
    x = 3,087.04

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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.