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Finding the Fourth Proportional to 3,113.94, 4,305.44 and 2,976.24

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Solution

The fourth proportional to 3,113.94, 4,305.44 and 2,976.24 is: 4,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.94 : 4,305.44 = 2,976.24 : x
  2. Step 2: Convert to fraction form
    3,113.94/4,305.44 = 2,976.24/x
  3. Step 3: Cross multiply
    3,113.94x = 4,305.44 × 2,976.24
  4. Step 4: Simplify right side
    3,113.94x = 12,814,007.86
  5. Step 5: Solve for x
    x = 12,814,007.86/3,113.94
  6. Step 6: Final answer
    x = 4,115.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.