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Finding the Fourth Proportional to 4,922.64, 6,793.02 and 2,798.46

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Solution

The fourth proportional to 4,922.64, 6,793.02 and 2,798.46 is: 3,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.64 : 6,793.02 = 2,798.46 : x
  2. Step 2: Convert to fraction form
    4,922.64/6,793.02 = 2,798.46/x
  3. Step 3: Cross multiply
    4,922.64x = 6,793.02 × 2,798.46
  4. Step 4: Simplify right side
    4,922.64x = 19,009,994.75
  5. Step 5: Solve for x
    x = 19,009,994.75/4,922.64
  6. Step 6: Final answer
    x = 3,861.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.