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Finding the Fourth Proportional to 6,306.84, 8,702.36 and 3,653.80

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Solution

The fourth proportional to 6,306.84, 8,702.36 and 3,653.80 is: 5,041.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.84 : 8,702.36 = 3,653.80 : x
  2. Step 2: Convert to fraction form
    6,306.84/8,702.36 = 3,653.80/x
  3. Step 3: Cross multiply
    6,306.84x = 8,702.36 × 3,653.80
  4. Step 4: Simplify right side
    6,306.84x = 31,796,682.97
  5. Step 5: Solve for x
    x = 31,796,682.97/6,306.84
  6. Step 6: Final answer
    x = 5,041.62

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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.