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Finding the Fourth Proportional to 4,974.76, 7,458.90 and 2,050.12

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Solution

The fourth proportional to 4,974.76, 7,458.90 and 2,050.12 is: 3,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.76 : 7,458.90 = 2,050.12 : x
  2. Step 2: Convert to fraction form
    4,974.76/7,458.90 = 2,050.12/x
  3. Step 3: Cross multiply
    4,974.76x = 7,458.90 × 2,050.12
  4. Step 4: Simplify right side
    4,974.76x = 15,291,640.07
  5. Step 5: Solve for x
    x = 15,291,640.07/4,974.76
  6. Step 6: Final answer
    x = 3,073.84

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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.