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Finding the Fourth Proportional to 5,720.96, 8,597.57 and 3,382.07

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Solution

The fourth proportional to 5,720.96, 8,597.57 and 3,382.07 is: 5,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.96 : 8,597.57 = 3,382.07 : x
  2. Step 2: Convert to fraction form
    5,720.96/8,597.57 = 3,382.07/x
  3. Step 3: Cross multiply
    5,720.96x = 8,597.57 × 3,382.07
  4. Step 4: Simplify right side
    5,720.96x = 29,077,523.67
  5. Step 5: Solve for x
    x = 29,077,523.67/5,720.96
  6. Step 6: Final answer
    x = 5,082.63

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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.