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Finding the Fourth Proportional to 5,401.67, 8,102.57 and 1,891.53

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Solution

The fourth proportional to 5,401.67, 8,102.57 and 1,891.53 is: 2,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.67 : 8,102.57 = 1,891.53 : x
  2. Step 2: Convert to fraction form
    5,401.67/8,102.57 = 1,891.53/x
  3. Step 3: Cross multiply
    5,401.67x = 8,102.57 × 1,891.53
  4. Step 4: Simplify right side
    5,401.67x = 15,326,244.77
  5. Step 5: Solve for x
    x = 15,326,244.77/5,401.67
  6. Step 6: Final answer
    x = 2,837.32

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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.