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Finding the Fourth Proportional to 5,603.41, 7,732.89 and 3,085.71

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Solution

The fourth proportional to 5,603.41, 7,732.89 and 3,085.71 is: 4,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.41 : 7,732.89 = 3,085.71 : x
  2. Step 2: Convert to fraction form
    5,603.41/7,732.89 = 3,085.71/x
  3. Step 3: Cross multiply
    5,603.41x = 7,732.89 × 3,085.71
  4. Step 4: Simplify right side
    5,603.41x = 23,861,456.00
  5. Step 5: Solve for x
    x = 23,861,456.00/5,603.41
  6. Step 6: Final answer
    x = 4,258.38

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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.