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Finding the Fourth Proportional to 5,735.52, 8,603.24 and 1,631.52

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Solution

The fourth proportional to 5,735.52, 8,603.24 and 1,631.52 is: 2,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.52 : 8,603.24 = 1,631.52 : x
  2. Step 2: Convert to fraction form
    5,735.52/8,603.24 = 1,631.52/x
  3. Step 3: Cross multiply
    5,735.52x = 8,603.24 × 1,631.52
  4. Step 4: Simplify right side
    5,735.52x = 14,036,358.12
  5. Step 5: Solve for x
    x = 14,036,358.12/5,735.52
  6. Step 6: Final answer
    x = 2,447.27

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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.