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Finding the Fourth Proportional to 4,976.32, 6,863.68 and 2,986.24

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Solution

The fourth proportional to 4,976.32, 6,863.68 and 2,986.24 is: 4,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.32 : 6,863.68 = 2,986.24 : x
  2. Step 2: Convert to fraction form
    4,976.32/6,863.68 = 2,986.24/x
  3. Step 3: Cross multiply
    4,976.32x = 6,863.68 × 2,986.24
  4. Step 4: Simplify right side
    4,976.32x = 20,496,595.76
  5. Step 5: Solve for x
    x = 20,496,595.76/4,976.32
  6. Step 6: Final answer
    x = 4,118.83

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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.