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Finding the Fourth Proportional to 3,490.65, 5,236.58 and 1,382.63

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Solution

The fourth proportional to 3,490.65, 5,236.58 and 1,382.63 is: 2,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.65 : 5,236.58 = 1,382.63 : x
  2. Step 2: Convert to fraction form
    3,490.65/5,236.58 = 1,382.63/x
  3. Step 3: Cross multiply
    3,490.65x = 5,236.58 × 1,382.63
  4. Step 4: Simplify right side
    3,490.65x = 7,240,229.88
  5. Step 5: Solve for x
    x = 7,240,229.88/3,490.65
  6. Step 6: Final answer
    x = 2,074.18

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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.