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Finding the Fourth Proportional to 4,455.38, 6,685.34 and 1,824.83

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Solution

The fourth proportional to 4,455.38, 6,685.34 and 1,824.83 is: 2,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,455.38 : 6,685.34 = 1,824.83 : x
  2. Step 2: Convert to fraction form
    4,455.38/6,685.34 = 1,824.83/x
  3. Step 3: Cross multiply
    4,455.38x = 6,685.34 × 1,824.83
  4. Step 4: Simplify right side
    4,455.38x = 12,199,580.13
  5. Step 5: Solve for x
    x = 12,199,580.13/4,455.38
  6. Step 6: Final answer
    x = 2,738.17

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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.