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Finding the Fourth Proportional to 6,397, 8,828.40 and 3,603.04

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Solution

The fourth proportional to 6,397, 8,828.40 and 3,603.04 is: 4,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397 : 8,828.40 = 3,603.04 : x
  2. Step 2: Convert to fraction form
    6,397/8,828.40 = 3,603.04/x
  3. Step 3: Cross multiply
    6,397x = 8,828.40 × 3,603.04
  4. Step 4: Simplify right side
    6,397x = 31,809,078.34
  5. Step 5: Solve for x
    x = 31,809,078.34/6,397
  6. Step 6: Final answer
    x = 4,972.50

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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.