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Finding the Fourth Proportional to 4,923.32, 7,385.02 and 3,469

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Solution

The fourth proportional to 4,923.32, 7,385.02 and 3,469 is: 5,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.32 : 7,385.02 = 3,469 : x
  2. Step 2: Convert to fraction form
    4,923.32/7,385.02 = 3,469/x
  3. Step 3: Cross multiply
    4,923.32x = 7,385.02 × 3,469
  4. Step 4: Simplify right side
    4,923.32x = 25,618,634.38
  5. Step 5: Solve for x
    x = 25,618,634.38/4,923.32
  6. Step 6: Final answer
    x = 5,203.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.