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Finding the Fourth Proportional to 4,156.59, 6,232.80 and 1,382.29

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Solution

The fourth proportional to 4,156.59, 6,232.80 and 1,382.29 is: 2,072.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.59 : 6,232.80 = 1,382.29 : x
  2. Step 2: Convert to fraction form
    4,156.59/6,232.80 = 1,382.29/x
  3. Step 3: Cross multiply
    4,156.59x = 6,232.80 × 1,382.29
  4. Step 4: Simplify right side
    4,156.59x = 8,615,505.95
  5. Step 5: Solve for x
    x = 8,615,505.95/4,156.59
  6. Step 6: Final answer
    x = 2,072.73

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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.