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Finding the Fourth Proportional to 6,306.30, 8,702.55 and 3,949.74

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Solution

The fourth proportional to 6,306.30, 8,702.55 and 3,949.74 is: 5,450.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.30 : 8,702.55 = 3,949.74 : x
  2. Step 2: Convert to fraction form
    6,306.30/8,702.55 = 3,949.74/x
  3. Step 3: Cross multiply
    6,306.30x = 8,702.55 × 3,949.74
  4. Step 4: Simplify right side
    6,306.30x = 34,372,809.84
  5. Step 5: Solve for x
    x = 34,372,809.84/6,306.30
  6. Step 6: Final answer
    x = 5,450.55

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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.