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Finding the Fourth Proportional to 5,652.99, 8,471.36 and 3,182.59

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Solution

The fourth proportional to 5,652.99, 8,471.36 and 3,182.59 is: 4,769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.99 : 8,471.36 = 3,182.59 : x
  2. Step 2: Convert to fraction form
    5,652.99/8,471.36 = 3,182.59/x
  3. Step 3: Cross multiply
    5,652.99x = 8,471.36 × 3,182.59
  4. Step 4: Simplify right side
    5,652.99x = 26,960,823.27
  5. Step 5: Solve for x
    x = 26,960,823.27/5,652.99
  6. Step 6: Final answer
    x = 4,769.31

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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.