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Finding the Fourth Proportional to 5,147.84, 7,722.21 and 1,450.10

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Solution

The fourth proportional to 5,147.84, 7,722.21 and 1,450.10 is: 2,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.84 : 7,722.21 = 1,450.10 : x
  2. Step 2: Convert to fraction form
    5,147.84/7,722.21 = 1,450.10/x
  3. Step 3: Cross multiply
    5,147.84x = 7,722.21 × 1,450.10
  4. Step 4: Simplify right side
    5,147.84x = 11,197,938.11
  5. Step 5: Solve for x
    x = 11,197,938.11/5,147.84
  6. Step 6: Final answer
    x = 2,175.27

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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.