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Finding the Fourth Proportional to 4,191.62, 6,285.14 and 1,269.54

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Solution

The fourth proportional to 4,191.62, 6,285.14 and 1,269.54 is: 1,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.62 : 6,285.14 = 1,269.54 : x
  2. Step 2: Convert to fraction form
    4,191.62/6,285.14 = 1,269.54/x
  3. Step 3: Cross multiply
    4,191.62x = 6,285.14 × 1,269.54
  4. Step 4: Simplify right side
    4,191.62x = 7,979,236.64
  5. Step 5: Solve for x
    x = 7,979,236.64/4,191.62
  6. Step 6: Final answer
    x = 1,903.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.