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Finding the Fourth Proportional to 4,260.92, 6,382.10 and 2,309

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Solution

The fourth proportional to 4,260.92, 6,382.10 and 2,309 is: 3,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,260.92 : 6,382.10 = 2,309 : x
  2. Step 2: Convert to fraction form
    4,260.92/6,382.10 = 2,309/x
  3. Step 3: Cross multiply
    4,260.92x = 6,382.10 × 2,309
  4. Step 4: Simplify right side
    4,260.92x = 14,736,268.90
  5. Step 5: Solve for x
    x = 14,736,268.90/4,260.92
  6. Step 6: Final answer
    x = 3,458.47

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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.