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Finding the Fourth Proportional to 4,913.38, 6,783.07 and 3,945.76

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Solution

The fourth proportional to 4,913.38, 6,783.07 and 3,945.76 is: 5,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.38 : 6,783.07 = 3,945.76 : x
  2. Step 2: Convert to fraction form
    4,913.38/6,783.07 = 3,945.76/x
  3. Step 3: Cross multiply
    4,913.38x = 6,783.07 × 3,945.76
  4. Step 4: Simplify right side
    4,913.38x = 26,764,366.28
  5. Step 5: Solve for x
    x = 26,764,366.28/4,913.38
  6. Step 6: Final answer
    x = 5,447.25

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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.