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Finding the Fourth Proportional to 4,906.10, 7,357.80 and 1,984.70

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Solution

The fourth proportional to 4,906.10, 7,357.80 and 1,984.70 is: 2,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.10 : 7,357.80 = 1,984.70 : x
  2. Step 2: Convert to fraction form
    4,906.10/7,357.80 = 1,984.70/x
  3. Step 3: Cross multiply
    4,906.10x = 7,357.80 × 1,984.70
  4. Step 4: Simplify right side
    4,906.10x = 14,603,025.66
  5. Step 5: Solve for x
    x = 14,603,025.66/4,906.10
  6. Step 6: Final answer
    x = 2,976.50

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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.