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Finding the Fourth Proportional to 3,855.40, 5,320.46 and 2,176.78

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Solution

The fourth proportional to 3,855.40, 5,320.46 and 2,176.78 is: 3,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.40 : 5,320.46 = 2,176.78 : x
  2. Step 2: Convert to fraction form
    3,855.40/5,320.46 = 2,176.78/x
  3. Step 3: Cross multiply
    3,855.40x = 5,320.46 × 2,176.78
  4. Step 4: Simplify right side
    3,855.40x = 11,581,470.92
  5. Step 5: Solve for x
    x = 11,581,470.92/3,855.40
  6. Step 6: Final answer
    x = 3,003.96

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