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Finding the Fourth Proportional to 5,603.38, 7,732.46 and 3,085.36

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Solution

The fourth proportional to 5,603.38, 7,732.46 and 3,085.36 is: 4,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.38 : 7,732.46 = 3,085.36 : x
  2. Step 2: Convert to fraction form
    5,603.38/7,732.46 = 3,085.36/x
  3. Step 3: Cross multiply
    5,603.38x = 7,732.46 × 3,085.36
  4. Step 4: Simplify right side
    5,603.38x = 23,857,422.79
  5. Step 5: Solve for x
    x = 23,857,422.79/5,603.38
  6. Step 6: Final answer
    x = 4,257.68

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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.