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Finding the Fourth Proportional to 3,885.60, 5,824.90 and 1,418.69

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Solution

The fourth proportional to 3,885.60, 5,824.90 and 1,418.69 is: 2,126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.60 : 5,824.90 = 1,418.69 : x
  2. Step 2: Convert to fraction form
    3,885.60/5,824.90 = 1,418.69/x
  3. Step 3: Cross multiply
    3,885.60x = 5,824.90 × 1,418.69
  4. Step 4: Simplify right side
    3,885.60x = 8,263,727.38
  5. Step 5: Solve for x
    x = 8,263,727.38/3,885.60
  6. Step 6: Final answer
    x = 2,126.76

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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.