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Finding the Fourth Proportional to 5,768.64, 8,653.50 and 3,474.72

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Solution

The fourth proportional to 5,768.64, 8,653.50 and 3,474.72 is: 5,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.64 : 8,653.50 = 3,474.72 : x
  2. Step 2: Convert to fraction form
    5,768.64/8,653.50 = 3,474.72/x
  3. Step 3: Cross multiply
    5,768.64x = 8,653.50 × 3,474.72
  4. Step 4: Simplify right side
    5,768.64x = 30,068,489.52
  5. Step 5: Solve for x
    x = 30,068,489.52/5,768.64
  6. Step 6: Final answer
    x = 5,212.41

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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.