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Finding the Fourth Proportional to 3,862.55, 5,330.75 and 3,231.96

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Solution

The fourth proportional to 3,862.55, 5,330.75 and 3,231.96 is: 4,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.55 : 5,330.75 = 3,231.96 : x
  2. Step 2: Convert to fraction form
    3,862.55/5,330.75 = 3,231.96/x
  3. Step 3: Cross multiply
    3,862.55x = 5,330.75 × 3,231.96
  4. Step 4: Simplify right side
    3,862.55x = 17,228,770.77
  5. Step 5: Solve for x
    x = 17,228,770.77/3,862.55
  6. Step 6: Final answer
    x = 4,460.47

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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.