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Finding the Fourth Proportional to 4,977.73, 7,468.30 and 3,126.68

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Solution

The fourth proportional to 4,977.73, 7,468.30 and 3,126.68 is: 4,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.73 : 7,468.30 = 3,126.68 : x
  2. Step 2: Convert to fraction form
    4,977.73/7,468.30 = 3,126.68/x
  3. Step 3: Cross multiply
    4,977.73x = 7,468.30 × 3,126.68
  4. Step 4: Simplify right side
    4,977.73x = 23,350,968.61
  5. Step 5: Solve for x
    x = 23,350,968.61/4,977.73
  6. Step 6: Final answer
    x = 4,691.09

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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.