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Finding the Fourth Proportional to 4,974.76, 7,455.66 and 3,099.88

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Solution

The fourth proportional to 4,974.76, 7,455.66 and 3,099.88 is: 4,645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.76 : 7,455.66 = 3,099.88 : x
  2. Step 2: Convert to fraction form
    4,974.76/7,455.66 = 3,099.88/x
  3. Step 3: Cross multiply
    4,974.76x = 7,455.66 × 3,099.88
  4. Step 4: Simplify right side
    4,974.76x = 23,111,651.32
  5. Step 5: Solve for x
    x = 23,111,651.32/4,974.76
  6. Step 6: Final answer
    x = 4,645.78

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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.