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Finding the Fourth Proportional to 4,156.55, 6,230.12 and 1,382.57

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Solution

The fourth proportional to 4,156.55, 6,230.12 and 1,382.57 is: 2,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.55 : 6,230.12 = 1,382.57 : x
  2. Step 2: Convert to fraction form
    4,156.55/6,230.12 = 1,382.57/x
  3. Step 3: Cross multiply
    4,156.55x = 6,230.12 × 1,382.57
  4. Step 4: Simplify right side
    4,156.55x = 8,613,562.31
  5. Step 5: Solve for x
    x = 8,613,562.31/4,156.55
  6. Step 6: Final answer
    x = 2,072.29

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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.