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Finding the Fourth Proportional to 5,755.32, 8,632.62 and 1,806.30

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Solution

The fourth proportional to 5,755.32, 8,632.62 and 1,806.30 is: 2,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.32 : 8,632.62 = 1,806.30 : x
  2. Step 2: Convert to fraction form
    5,755.32/8,632.62 = 1,806.30/x
  3. Step 3: Cross multiply
    5,755.32x = 8,632.62 × 1,806.30
  4. Step 4: Simplify right side
    5,755.32x = 15,593,101.51
  5. Step 5: Solve for x
    x = 15,593,101.51/5,755.32
  6. Step 6: Final answer
    x = 2,709.34

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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.