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Finding the Fourth Proportional to 4,252.60, 6,353.74 and 4,107.31

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Solution

The fourth proportional to 4,252.60, 6,353.74 and 4,107.31 is: 6,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.60 : 6,353.74 = 4,107.31 : x
  2. Step 2: Convert to fraction form
    4,252.60/6,353.74 = 4,107.31/x
  3. Step 3: Cross multiply
    4,252.60x = 6,353.74 × 4,107.31
  4. Step 4: Simplify right side
    4,252.60x = 26,096,769.09
  5. Step 5: Solve for x
    x = 26,096,769.09/4,252.60
  6. Step 6: Final answer
    x = 6,136.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.