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Finding the Fourth Proportional to 4,074.10, 6,107.25 and 1,299.25

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Solution

The fourth proportional to 4,074.10, 6,107.25 and 1,299.25 is: 1,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.10 : 6,107.25 = 1,299.25 : x
  2. Step 2: Convert to fraction form
    4,074.10/6,107.25 = 1,299.25/x
  3. Step 3: Cross multiply
    4,074.10x = 6,107.25 × 1,299.25
  4. Step 4: Simplify right side
    4,074.10x = 7,934,822.72
  5. Step 5: Solve for x
    x = 7,934,822.72/4,074.10
  6. Step 6: Final answer
    x = 1,947.62

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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.