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Finding the Fourth Proportional to 6,196.50, 8,551.31 and 3,402

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Solution

The fourth proportional to 6,196.50, 8,551.31 and 3,402 is: 4,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.50 : 8,551.31 = 3,402 : x
  2. Step 2: Convert to fraction form
    6,196.50/8,551.31 = 3,402/x
  3. Step 3: Cross multiply
    6,196.50x = 8,551.31 × 3,402
  4. Step 4: Simplify right side
    6,196.50x = 29,091,539.61
  5. Step 5: Solve for x
    x = 29,091,539.61/6,196.50
  6. Step 6: Final answer
    x = 4,694.83

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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.