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Finding the Fourth Proportional to 6,398, 8,829.24 and 3,603.56

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Solution

The fourth proportional to 6,398, 8,829.24 and 3,603.56 is: 4,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398 : 8,829.24 = 3,603.56 : x
  2. Step 2: Convert to fraction form
    6,398/8,829.24 = 3,603.56/x
  3. Step 3: Cross multiply
    6,398x = 8,829.24 × 3,603.56
  4. Step 4: Simplify right side
    6,398x = 31,816,696.09
  5. Step 5: Solve for x
    x = 31,816,696.09/6,398
  6. Step 6: Final answer
    x = 4,972.91

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