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Finding the Fourth Proportional to 3,581.42, 4,935.06 and 2,742.12

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Solution

The fourth proportional to 3,581.42, 4,935.06 and 2,742.12 is: 3,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.42 : 4,935.06 = 2,742.12 : x
  2. Step 2: Convert to fraction form
    3,581.42/4,935.06 = 2,742.12/x
  3. Step 3: Cross multiply
    3,581.42x = 4,935.06 × 2,742.12
  4. Step 4: Simplify right side
    3,581.42x = 13,532,526.73
  5. Step 5: Solve for x
    x = 13,532,526.73/3,581.42
  6. Step 6: Final answer
    x = 3,778.54

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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.