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Finding the Fourth Proportional to 5,652.42, 8,476.89 and 3,908.63

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Solution

The fourth proportional to 5,652.42, 8,476.89 and 3,908.63 is: 5,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.42 : 8,476.89 = 3,908.63 : x
  2. Step 2: Convert to fraction form
    5,652.42/8,476.89 = 3,908.63/x
  3. Step 3: Cross multiply
    5,652.42x = 8,476.89 × 3,908.63
  4. Step 4: Simplify right side
    5,652.42x = 33,132,998.83
  5. Step 5: Solve for x
    x = 33,132,998.83/5,652.42
  6. Step 6: Final answer
    x = 5,861.74

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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.