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Finding the Fourth Proportional to 5,651.84, 8,471.61 and 4,827.62

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Solution

The fourth proportional to 5,651.84, 8,471.61 and 4,827.62 is: 7,236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.84 : 8,471.61 = 4,827.62 : x
  2. Step 2: Convert to fraction form
    5,651.84/8,471.61 = 4,827.62/x
  3. Step 3: Cross multiply
    5,651.84x = 8,471.61 × 4,827.62
  4. Step 4: Simplify right side
    5,651.84x = 40,897,735.05
  5. Step 5: Solve for x
    x = 40,897,735.05/5,651.84
  6. Step 6: Final answer
    x = 7,236.18

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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.