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Finding the Fourth Proportional to 5,851.72, 8,071.68 and 4,082.68

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Solution

The fourth proportional to 5,851.72, 8,071.68 and 4,082.68 is: 5,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.72 : 8,071.68 = 4,082.68 : x
  2. Step 2: Convert to fraction form
    5,851.72/8,071.68 = 4,082.68/x
  3. Step 3: Cross multiply
    5,851.72x = 8,071.68 × 4,082.68
  4. Step 4: Simplify right side
    5,851.72x = 32,954,086.50
  5. Step 5: Solve for x
    x = 32,954,086.50/5,851.72
  6. Step 6: Final answer
    x = 5,631.52

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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.