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Finding the Fourth Proportional to 3,709.29, 5,563.40 and 1,400.25

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Solution

The fourth proportional to 3,709.29, 5,563.40 and 1,400.25 is: 2,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.29 : 5,563.40 = 1,400.25 : x
  2. Step 2: Convert to fraction form
    3,709.29/5,563.40 = 1,400.25/x
  3. Step 3: Cross multiply
    3,709.29x = 5,563.40 × 1,400.25
  4. Step 4: Simplify right side
    3,709.29x = 7,790,143.85
  5. Step 5: Solve for x
    x = 7,790,143.85/3,709.29
  6. Step 6: Final answer
    x = 2,100.17

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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.