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Finding the Fourth Proportional to 5,509.53, 8,261.96 and 1,809.72

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Solution

The fourth proportional to 5,509.53, 8,261.96 and 1,809.72 is: 2,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.53 : 8,261.96 = 1,809.72 : x
  2. Step 2: Convert to fraction form
    5,509.53/8,261.96 = 1,809.72/x
  3. Step 3: Cross multiply
    5,509.53x = 8,261.96 × 1,809.72
  4. Step 4: Simplify right side
    5,509.53x = 14,951,825.20
  5. Step 5: Solve for x
    x = 14,951,825.20/5,509.53
  6. Step 6: Final answer
    x = 2,713.81

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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.