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Finding the Fourth Proportional to 5,214.57, 7,821.85 and 1,754.25

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Solution

The fourth proportional to 5,214.57, 7,821.85 and 1,754.25 is: 2,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.57 : 7,821.85 = 1,754.25 : x
  2. Step 2: Convert to fraction form
    5,214.57/7,821.85 = 1,754.25/x
  3. Step 3: Cross multiply
    5,214.57x = 7,821.85 × 1,754.25
  4. Step 4: Simplify right side
    5,214.57x = 13,721,480.36
  5. Step 5: Solve for x
    x = 13,721,480.36/5,214.57
  6. Step 6: Final answer
    x = 2,631.37

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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.