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Finding the Fourth Proportional to 5,605.38, 7,735.26 and 3,215.75

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Solution

The fourth proportional to 5,605.38, 7,735.26 and 3,215.75 is: 4,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.38 : 7,735.26 = 3,215.75 : x
  2. Step 2: Convert to fraction form
    5,605.38/7,735.26 = 3,215.75/x
  3. Step 3: Cross multiply
    5,605.38x = 7,735.26 × 3,215.75
  4. Step 4: Simplify right side
    5,605.38x = 24,874,670.38
  5. Step 5: Solve for x
    x = 24,874,670.38/5,605.38
  6. Step 6: Final answer
    x = 4,437.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.