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Finding the Fourth Proportional to 5,627.72, 8,441.69 and 1,732.13

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Solution

The fourth proportional to 5,627.72, 8,441.69 and 1,732.13 is: 2,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.72 : 8,441.69 = 1,732.13 : x
  2. Step 2: Convert to fraction form
    5,627.72/8,441.69 = 1,732.13/x
  3. Step 3: Cross multiply
    5,627.72x = 8,441.69 × 1,732.13
  4. Step 4: Simplify right side
    5,627.72x = 14,622,066.62
  5. Step 5: Solve for x
    x = 14,622,066.62/5,627.72
  6. Step 6: Final answer
    x = 2,598.22

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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.