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Finding the Fourth Proportional to 6,397.72, 8,828.94 and 3,603.28

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Solution

The fourth proportional to 6,397.72, 8,828.94 and 3,603.28 is: 4,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.72 : 8,828.94 = 3,603.28 : x
  2. Step 2: Convert to fraction form
    6,397.72/8,828.94 = 3,603.28/x
  3. Step 3: Cross multiply
    6,397.72x = 8,828.94 × 3,603.28
  4. Step 4: Simplify right side
    6,397.72x = 31,813,142.92
  5. Step 5: Solve for x
    x = 31,813,142.92/6,397.72
  6. Step 6: Final answer
    x = 4,972.58

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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.