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Finding the Fourth Proportional to 3,885.42, 5,823.27 and 3,060.43

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Solution

The fourth proportional to 3,885.42, 5,823.27 and 3,060.43 is: 4,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.42 : 5,823.27 = 3,060.43 : x
  2. Step 2: Convert to fraction form
    3,885.42/5,823.27 = 3,060.43/x
  3. Step 3: Cross multiply
    3,885.42x = 5,823.27 × 3,060.43
  4. Step 4: Simplify right side
    3,885.42x = 17,821,710.21
  5. Step 5: Solve for x
    x = 17,821,710.21/3,885.42
  6. Step 6: Final answer
    x = 4,586.82

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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.