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Finding the Fourth Proportional to 5,735.75, 8,605.07 and 1,631.75

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Solution

The fourth proportional to 5,735.75, 8,605.07 and 1,631.75 is: 2,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.75 : 8,605.07 = 1,631.75 : x
  2. Step 2: Convert to fraction form
    5,735.75/8,605.07 = 1,631.75/x
  3. Step 3: Cross multiply
    5,735.75x = 8,605.07 × 1,631.75
  4. Step 4: Simplify right side
    5,735.75x = 14,041,322.97
  5. Step 5: Solve for x
    x = 14,041,322.97/5,735.75
  6. Step 6: Final answer
    x = 2,448.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.